See the following supplemental briefs for details and examples:
The graph server is enabled by default; it can be managed via standard
Kinetica Service Management. For more information
on using and configuring multiple graph servers, see
Distributed Graph Servers. Graph server logs are available in
/opt/gpudb/graph/logs
. See the
Configuration Reference for more
information on graph server configuration.
Tip
 Using SQL or native API, a user can create a graph from several components, solve the graph using one of several solver types, and query the solved graph.
 Graphs can also be created & previewed using the GAdmin UI or Workbench UI.
Solvers
Kinetica has several different solvers available for presenting solutions to various types of graph problems. Note that some solvers are only available to /solve/graph and likewise for /match/graph. Consult Solving a Graph or Matching a Graph for more information on the desired operation.Solve Graph Solvers
Solver  Description  CPU Parallel 

ALLPATHS  Determines all reasonable paths between a source and destination pair.  X 
BACKHAUL_ROUTING  Determines the optimal routes between remote asset nodes and fixed asset nodes.  X 
CENTRALITY  Calculates the degree of a node to depict how many pairs of individuals that would have to go through the node to reach one another in the minimum number of hops. Also known as betweenness.  X 
CLOSENESS  Calculates the centrality closeness score per node as the sum of the inverse shortest path costs to all nodes in the graph.  X 
INVERSE_SHORTEST_PATH  Determines the shortest path downstream using multiple technician routing.  X 
MULTIPLE_ROUTING  Calculates the shortest possible route between the nodes and returns to the origin node  also known as the traveling salesman.  X 
PAGE_RANK  Calculates how connected the nodes are and determines which nodes are the most important. Weights are not required.  X 
PROBABILITY_RANK  Calculates the probability of a node being connected to another node using hidden Markov chains.  X 
SHORTEST_PATH  Determines the shortest path upstream between given source(s) and destination(s).  X 
STATS_ALL  Calculates graph statistics such as graph diameter, longest pairs, vertex valences, topology numbers, average and max cluster sizes, etc.  X 
Match Graph Solvers
Solver  Description  CPU Parallel 

MARKOV_CHAIN  Matches sample points to the graph using the Hidden Markov Model (HMM)based method, which conducts a rangetree closestedge search to find the best combinations of possible road segments for each sample point to create the best route. The route is secured one point at a time, so the prediction is corrected after each point. This solution type is the most accurate, but also the most computationally intensive.  X 
MATCH_BATCH_SOLVES  Matches each provided sample source and destination pair using the shortest path between the points.  X 
MATCH_CHARGING_STATIONS  Matches a given sample source and destination pair to the optimal recharging stations along the route (for EVs).  X 
MATCH_CLUSTERS  Matches the graph nodes with a cluster index using the Louvain clustering algorithm. Note Parallel running of this solver is experimental and can be invoked with the parallel_clustering option.  X* 
MATCH_LOOPS  Matches closed loops (Eulerian paths) originating and ending at each graph node between min and max hops (levels).  X 
MATCH_OD_PAIRS  Matches sample points to find the most probable path between origin and destination (OD) pairs with given cost constraints.  X 
MATCH_SIMILARITY  Computes the Jaccard similarity between vertex pairs and Nlevel intersections within M hops.  X 
MATCH_SUPPLY_DEMAND  Matches sample generic supply depots to generic demand points using abstract transportation (referred to as trucks). Each route is determined by a truck's ability (size) to service demand at each demand point.  X 
Components and Identifiers
Graph components (e.g., nodes, edges, weights, and/or restrictions) must be defined with varying combinations of the identifiers listed in the tables below.Components for create, solve, query, and match operations can be identified in three ways:
 Aliasing existing table columns, e.g., table_name.column_name AS WKTPOINT
 Using expressions, e.g., ST_LENGTH(wkt) AS VALUESPECIFIED
 Using constant values, where strings & WKTs are singlequoted, nondecimal
numbers will be given an int or long type according to their size
(or can be coerced to long by using an L suffix, like 1L), and
decimal numbers will be given the double type; e.g.:
 {0} AS ONOFFCOMPARED
 {1L, 2, 3L, 4, 5} AS ID
 {1.1, 12.345689, 123.456789456789} AS NODE1_X
 {'name1', 'name2'} AS NAME
 {'POINT(10 15)'} AS WKTPOINT
Note
There are separate identifiers and combinations for /solve/graph, /query/graph, and /match/graph. See below for /solve/graph identifiers; see the associated Querying a Graph and Matching a Graph sections for their respective endpoint identifiers.
Identifiers are flagged aliases that the database knows to look for; existing source columns can be used as identifiers. Note that it will often be the case that source columns are reused for different identifiers because the components must naturally be linked together to create a graph. For example, source table seattle_road_network has columns WKTLINE (a wkt column), TwoWay (an integer column), and time (also an integer column); these columns could be identified via /create/graph like so:


Important
Identifiers with string as a supported type can be any string column type, e.g., char1  char256 or unrestricted string. Identifiers with wkt as a supported type can include optional zlevel values for the provided WKT shape but note that graphs only support zlevels ranging from 4 to +5.
Nodes
Nodes represent fundamental topological units of a graph. Nodes can be defined with an integer ID, a string name, or geospatial information, e.g., WKT point (POINT(X Y [Z])) or XY pair. Nodes are optional, as the start and end points of an edge can implicitly be used as nodes.
Identifier  Supported Types  Description 

ID  int, long  A number representing a node identifier 
LABEL  string  A string value representing a node's label 
NAME  string  A string value representing a node's name 
PARTITION_BOUNDARY  long  A number representing the ID of the partition containing this node, when using explicit partitioning to segment the graph; nodes spanning partition boundaries will need to be duplicated in the source table, once for each partition in which the node will reside 
WKTPOINT  wkt  A WKT string representing a node's geospatial point; e.g., POINT(X Y [Z]) See Geospatial Objects for more information on WKTs. 
X  float, double, int, long  A number representing a node's X or longitude value 
Y  float, double, int, long  A number representing a node's Y or latitude value 
Edges
Edges represent the required fundamental topological units of a graph that typically connect nodes. Edges can be defined with an integer ID, string name, or geospatial information, e.g., WKT point (POINT(X Y [Z])), line (LINESTRING(X1 Y1 [Z1], X2 Y2 [Z2])), or XY pairs. An edge can be implicitly drawn between two nodes. If an edge is defined using WKT linestrings, the graph server is capable of splitting many linestring segments into multiple, separate linestrings, thus creating one edge per linestring segment.
Identifier  Supported Types  Description 

ID  int, long  A number representing an edge identifier 
DIRECTION  int  A number representing what direction the edge can be traveled:

LABEL  string  A string value representing an edge's label 
NODE1_ID  int, long  A number representing the edge's first node 
NODE1_NAME  string  A string value representing the edge's first node's name 
NODE1_WKTPOINT  wkt  A WKT string representing the edge's first node's geospatial point; e.g., POINT(X1 Y1 [Z1]) See Geospatial Objects for more information on WKTs. 
NODE1_X  float, double, int, long  A number representing the edge's first node's X or longitude value 
NODE1_Y  float, double, int, long  A number representing the edge's first node's Y or latitude value 
NODE2_ID  int, long  A number representing the edge's second node 
NODE2_NAME  string  A string value representing the edge's second node's name 
NODE2_WKTPOINT  wkt  A WKT string representing the edge's second node's geospatial point; e.g., POINT(X2 Y2 [Z2]) See Geospatial Objects for more information on WKTs. 
NODE2_X  float, double, int, long  A number representing the edge's second node's X or longitude value 
NODE2_Y  float, double, int, long  A number representing the edge's second node's Y or latitude value 
PARTITION  long  A number representing the ID of the partition containing this edge, when using explicit partitioning to segment the graph 
WEIGHT_VALUESPECIFIED  float, double, int, long  A number representing the edge's associated weight value; if this identifier is provided, additional weights do not need to be specified 
WKTLINE  wkt  A WKT string representing an edge's geospatial line; e.g., LINESTRING(X1 Y1 [Z1], X2 Y2 [Z2]) See Geospatial Objects for more information on WKTs. 
Weights
Weights represent a method of informing the graph solver of the cost of including a given edge in a solution. Weights can be defined using an integer ID, string node names, or spatial information (LINESTRING(X1 Y1 [Z1], X1 Y1 [Z1])) and a static cost value or a cost multiplier. Each edge is associated with one weight, but there can be many edges between two nodes in a graph with directionality (EDGE_DIRECTION), allowing for many different weights along the same edge, which can have useful applications in realworld examples, e.g., different lanes between two junctions may have different speeds of travel.For graphs that define edges using complex WKT linestrings (e.g., linestrings with more than two points), weights are applied consistently to each segment of the linestring. For example, if LINESTRING(0 0, 1 3, 4 5) is provided as an edge source and a weight of 5 is assigned to that source, the resulting graph would have two edges, LINESTRING(0 0, 1 3) and LINESTRING(1 3, 4 5), that would both have a weight of 5. See Fitting Road Network Data to a Graph for more information.
Note
If DIRECTION is specified for an edge in a directed graph, the weight will be the same going in each direction.
Identifier  Supported Types  Description 

EDGE_DIRECTION  int  A number representing what direction the edge can be traveled:

EDGE_ID  int, long  A number representing a weight's associated edge identifier 
EDGE_NODE1_ID  int, long  A number representing a weight's associated edge's first node 
EDGE_NODE1_NAME  string  A string value representing a weight's associated edge's first node's name 
EDGE_NODE2_ID  int, long  A number representing a weight's associated edge's second node 
EDGE_NODE2_NAME  string  A string value representing a weight's associated edge's second node's name 
EDGE_PARTITION  long  A number representing a weight's associated edge's partition ID 
EDGE_WKTLINE  wkt  A WKT string representing a weight's associated edge geospatial line; e.g., LINESTRING(X1 Y1 [Z1], X2 Y2 [Z2]) See Geospatial Objects for more information on WKTs. 
FACTORSPECIFIED  float, double, int, long  A number representing how much incoming cost values will be multiplied 
FROM_EDGE_ID  int, long  A number representing a weight's associated edge identifier that signifies the start of a turn; paired with TO_EDGE_ID to define additionallyweighted traversal from one edge to another through any single node Note Only applicable if the add_turns option was set to true during /create/graph. This identifier can be used to locally override any *_turn_penalty and/or intersection_penalty options previously set. See Using Turnbased Weights & Restrictions for more information. 
TO_EDGE_ID  int, long  A number representing a weight's associated edge identifier that signifies the end of a turn; paired with FROM_EDGE_ID to define additionallyweighted traversal from one edge to another through any single node Note Only applicable if the add_turns option was set to true during /create/graph. This identifier can be used to locally override any *_turn_penalty and/or intersection_penalty options previously set. See Using Turnbased Weights & Restrictions for more information. 
WKTPOINT  wkt  A WKT string representing a weight's associated WKT point Note Used exclusively in conjunction with FACTORSPECIFIED to create a combination for graphing weights by the inverse distance weighted averaging of WKT points composing a graph. 
VALUESPECIFIED  float, double, int, long  A number representing the weight's value 
Important
Currently, FACTORSPECIFIED will only affect the cost if the edge has a VALUESPECIFIED already established. This means that FACTORSPECIFIED should only be used in /solve/graph or in conjunction with a VALUESPECIFIED during /create/graph.
Restrictions
Restrictions represent a method of informing the graph solver which edges and/or nodes should be ignored for the solution. Restrictions can be defined using an integer ID and a value or as a switch (on or off).
Identifier  Supported Types  Description 

EDGE_DIRECTION  int  A number representing what direction the edge can be traveled:

EDGE_ID  int, long  A number representing the restriction's associated edge identifier 
EDGE_LABEL  string  A string value referring to an edge label for restrictive purposes 
EDGE_NODE1_ID  int, long  A number representing a restriction's associated edge's first node 
EDGE_NODE1_NAME  string  A string value representing a restriction's associated edge's first node's name 
EDGE_NODE2_ID  int, long  A number representing a restriction's associated edge's second node 
EDGE_NODE2_NAME  string  A string value representing a restriction's associated edge's second node's name 
EDGE_PARTITION  long  A number representing a restriction's associated edge's partition ID 
EDGE_WKTLINE  wkt  A WKT string representing a weight's associated edge geospatial line; e.g., LINESTRING(X1 Y1 [Z1], X2 Y2 [Z2]) See Geospatial Objects for more information on WKTs. 
FROM_EDGE_ID  int, long  A number representing the restriction's associated edge identifier that signifies the start of a turn; paired with TO_EDGE_ID to define traversal restriction from one edge to another through any single node Note Only applicable if the add_turns option was set to true during /create/graph. This identifier can be used to locally override any *_turn_penalty and/or intersection_penalty options previously set. See Using Turnbased Weights & Restrictions for more information. 
NODE_ID  int, long  A number representing the restriction's associated node identifier 
NODE_LABEL  string  A string value referring to a node label for restrictive purposes 
NODE_NAME  string  A string value representing the restriction's associated node 
NODE_WKTPOINT  wkt  A WKT string representing the restriction's associated node's geospatial point, e.g., POINT(X Y [Z]) See Geospatial Objects for more information on WKTs. 
ONOFFCOMPARED  int  A number representing if the associated node or edge cannot be traversed, with 1 meaning it can be traversed and 0 meaning it cannot 
TO_EDGE_ID  int, long  A number representing the restriction's associated edge identifier that signifies the end of a turn; paired with FROM_EDGE_ID to define traversal restriction from one edge to another through any single node Note Only applicable if the add_turns option was set to true during /create/graph. This identifier can be used to locally override any *_turn_penalty and/or intersection_penalty options previously set. See Using Turnbased Weights & Restrictions for more information. 
VALUECOMPARED  float, double, int, long  A number representing the value against which incoming costs will be compared 
Note
When using VALUECOMPARED, solvers will not use the given node or edge if the current cost is less than the restriction value. When using ONOFFCOMPARED, solvers will not use the given node or edge if the ONOFFCOMPARED value is set to 0 (off).
Identifier Combinations
For each component, there's a minimum set of identifiers that must be used to properly create a graph. Each component's identifier combinations must reference columns from the same table, e.g., the node combination of ID and NAME must both use the same table. The columns must also not be nullable. Identifier types across components should match where possible.
Important
WKT identifiers can be matched to X/Y identifiers (and vice versa) within a userspecified tolerance (merge_tolerance under the /create/graph endpoint's options map). Using ID or NAME identifiers relies on exact matching. The WKTLINE identifiers will use the line's start and end points to map to an XY pair or WKTPOINT.
For example, if the identifier combination used for nodes is:


The edges identifier combination should include a match for the node ID. The following edge combination would match correctly with the node combination; note that matching node point(s) to edge endpoint(s) requires two edge endpoints to make an implicit edge between the points:


Note
The above example is not the only edge combinations available for the node ID identifier combination. See the Edges section below for other combinations.
If using multiple groups of combinations while creating, solving, querying, or matching a graph, the combinations must be separated by empty quotes ("") in the respective array, e.g.:


If specifying identifier combinations as raw values, the number of values within each identifier must match across the combination group, e.g.:


Nodes
 ID
 ID, NAME
 ID, WKTPOINT
 ID, X, Y
 NAME
 NAME, WKTPOINT
 NAME, X, Y
 WKTPOINT
 X, Y
The following identifiers can be added to any valid node combination:
 LABEL
 LABEL_KEY
 PARTITION_BOUNDARY
Edges
 ID, NODE1_ID, NODE2_ID
 ID, NODE1_ID, NODE2_ID, DIRECTION
 ID, NODE1_NAME, NODE2_NAME
 ID, NODE1_WKTPOINT, NODE2_WKTPOINT
 ID, NODE1_X, NODE1_Y, NODE2_X, NODE2_Y
 ID, WKTLINE
 ID, WKTLINE, DIRECTION
 NODE1_ID, NODE2_ID
 NODE1_NAME, NODE2_NAME
 NODE1_WKTPOINT, NODE2_WKTPOINT
 NODE1_X, NODE1_Y, NODE2_X, NODE2_Y
 WKTLINE
 WKTLINE, DIRECTION
Any or all of the following identifiers can be added to any valid edge combination:
 LABEL
 LABEL_KEY
 PARTITION
 WEIGHT_VALUESPECIFIED
Weights
 EDGE_ID, VALUESPECIFIED
 EDGE_ID, FACTORSPECIFIED
 EDGE_WKTLINE, EDGE_DIRECTION, VALUESPECIFIED
 EDGE_WKTLINE, VALUESPECIFIED
 EDGE_WKTLINE, FACTORSPECIFIED
 EDGE_NODE1_NAME, EDGE_NODE2_NAME, VALUESPECIFIED
 EDGE_NODE1_NAME, EDGE_NODE2_NAME, FACTORSPECIFIED
 EDGE_NODE1_ID, EDGE_NODE2_ID, VALUESPECIFIED
 EDGE_NODE1_ID, EDGE_NODE2_ID, FACTORSPECIFIED
 WKTPOINT, FACTORSPECIFIED
If utilizing turn penalties, the following combination becomes applicable:
 FROM_EDGE_ID, TO_EDGE_ID, VALUESPECIFIED
Restrictions
 EDGE_ID, ONOFFCOMPARED
 EDGE_ID, VALUECOMPARED
 EDGE_LABEL, ONOFFCOMPARED
 EDGE_NODE1_ID, EDGE_NODE2_ID, ONOFFCOMPARED
 EDGE_NODE1_NAME, EDGE_NODE2_NAME, ONOFFCOMPARED
 EDGE_WKTLINE, EDGE_DIRECTION, ONOFFCOMPARED
 EDGE_WKTLINE, EDGE_DIRECTION, VALUECOMPARED
 EDGE_WKTLINE, ONOFFCOMPARED
 EDGE_WKTLINE, VALUECOMPARED
 NODE_ID, ONOFFCOMPARED
 NODE_ID, VALUECOMPARED
 NODE_LABEL, ONOFFCOMPARED
 NODE_NAME, VALUECOMPARED
 NODE_NAME, ONOFFCOMPARED
 NODE_WKTPOINT, ONOFFCOMPARED
 NODE_WKTPOINT, VALUECOMPARED
If utilizing turn restrictions, the following combination becomes applicable:
 FROM_EDGE_ID, TO_EDGE_ID, ONOFFCOMPARED
Using Labels
Labels are a type of identifier that provide additional context to a node or edge and can act as a target for a query, among other things. Labels are paired with another identifier in several valid combinations listed above, but each unique label must be part of its own combination; i.e., there cannot be two labels in the same identifier combination.
For example, this is a valid multilabel configuration:


But this example is invalid:


LABEL values can be used in graph queries, matches, & solves.
Node / Edge Labels
The LABEL node identifiers & edge identifiers are used to provide additional stringbased information about a node or edge respectively, similarly to the node NAME (and other related) identifiers. Multiple labels can be applied to the same node or edge.
The LABEL_KEY node identifiers & edge identifiers are used to create groupings of corresponding LABEL identifier values. Any node or edge with a label that is part of a label key group will also have that label key applied to it as an additional LABEL value.
LABEL_KEY values can be used in graph queries, matches, & solves.




Restriction Labels
The NODE_LABEL and EDGE_LABEL restriction identifiers are used to restrict the value set defined as node & edge LABEL respectively. These restrictive identifiers must follow an alreadydefined node or edge LABEL; i.e., they cannot be used on their own at graph creation time. They are used in restriction combinations just like other restriction identifiers.
For example, if the relation between two people is used as the edge LABEL when creating a graph:


Then the family relation label can be restricted during the subsequent query using the EDGE_LABEL restriction identifier, meaning that the query will not traverse any family relationship edges when moving from person node to person node:


Using Turnbased Weights & Restrictions
Turnbased weights and restrictions are used to add a cost to solutions utilizing turn types implemented during graph creation or modification. If the add_turns option is set to true during /create/graph or /modify/graph operations, dummy pillowed edges will be added to each intersection of edges in a graph to mimic realistic turns. These dummy edges will not have any weight by default and will have the coordinates of their origin point. The available turn types are as follows:
 Left turns  turning left from one edge on to another
 Right turns  turning right from one edge on to another
 Intersection  continuing through an intersection of edges (e.g., a stoplight)
 Sharp turns  turning sharply left or right or a uturn; a sharp turn or uturn attribution is determined by the angle of the turn (the turn_angle setting)
For example, say you have a dataset featuring the intersection (designated by the traffic light) below:
Road 1 is a oneway road going north. Road 2 is a oneway road going west. If you were to create a graph from this dataset with add_turns set to false, the edges might look like this:
A solution containing the left turn from road 1 on to road 2 using this graph would incorporate
.On the other hand, if you were to create a graph from this dataset with add_turns set to true, the edges might look like this instead (note the two additional dummy edges designated by the dotted lines):
The L and the X associated with the dummy edges designate a left turn and intersection respectively, but these attributions could change depending on the turn angle set. A solution containing the left turn from road 1 on to road 2 using this graph instead would incorporate
.Once turns have been enabled and the turn angle has been set, turn penalties can be incurred via the /solve/graph or the /match/graph endpoints using two methods:
Setting penalties uniformly per turn type across the graph using the left_turn_penalty, right_turn_penalty, intersection_penalty, or sharp_turn_penalty options
Setting penalties on a peredge basis using the following weight identifier combinations:
FROM_EDGE_ID, TO_EDGE_ID, VALUESPECIFIED
Setting restrictions on a peredge basis using the following restriction identifier combinations:
FROM_EDGE_ID, TO_EDGE_ID, ONOFFCOMPARED
Tip
Using the weight or restriction combinations will locally override any penalty options set.
For more information on using turn penalties and restrictions, see the turn penalties and restrictions graph example.
Creating a Graph
Creating a graph is serviced by the /create/graph endpoint; this involves reading from tables with annotated component identifiers and drawing relationships between given nodes and/or edges on a graph, taking into account nodes or edges between nodes that should be favored or ignored.
Note
Though it's recommended edges and weights are kept in the same table, it's not required.
Once the components are setup, the graph can be created. Requirements for creating a graph include:
 name for the graph
 if the graph is directed or not
 edges
 weights (for most solver types)
Important
Nodes and restrictions are not required to create a graph. If nodes are included, however, they should be kept in a separate table from edges and weights. If restrictions are included, they can exist in either the nodes table and/or edges/weights table(s) or in an entirely separate table.
A graph name must adhere to the standard naming criteria. Each graph exists within a schema and follows the standard name resolution rules for tables.
Directed Graphs
Whether a graph is directed or not can determine how a graph is solved or queried. Using Components and Identifiers and Identifier Combinations for context, edges connect two nodes together ("node 1" and "node 2"). When a graph is directed, these nodes that comprise a given edge have an implicit direction: "node 1" to "node 2". Regardless if these nodes have a spatial context, Kinetica will treat "node 2" as if it must be traveled to directly from "node 1" (whatever their underlying values may be: Jim and George , POINT(0 0) and POINT(9 10), 32 and 45, etc.).
For example, given the below nondirected graph:
Attempting to solve for the shortest path from node F to node A would result in a SOLVERS_EDGE_PATH of F, E, D, C, B, A. Querying for other nodes attached to node E would result in two adjacencies: F and D.On the other hand, given the below directed graph:
Attempting to solve for the shortest path from node F to node A would be unsuccessful because there are only edges going toward F (and none leading away from F and subsequently toward A). Querying for other nodes attached to node E would result in a single adjacency: F.
Modifying a Graph
Modifying a graph is serviced by the /modify/graph endpoint; this involves using given node(s), edge(s), weight(s), restriction(s), and option(s) to update an existing graph. All parameters and options available to /modify/graph are also available to /create/graph; as such, many of the same principles apply to using /modify/graph.
Requirements for modifying a graph include:
 name for the existing graph
 components/identifiers and options used to modify the graph
Solving a Graph
Solving a graph is serviced by the /solve/graph endpoint; this involves using given source node(s), destination node(s), and any weights or restrictions from an existing graph to calculate a given solution type. Offgraph spatial locations are accepted in all solvers, with the results being corrected to snap locations. The calculated solution is then placed in a table in Kinetica; note that many concurrent solves over the same graph are possible. The source node determines from which node the graph solution routing is started; the destination node(s) determines at which node the graph solution will complete routes. Source/destination node(s) can be an ID, name, or WKT point.Requirements for solving a graph include:
 name of the graph to solve
 solution type
Important
Additional weights and restrictions beyond those defined in the graph creation stage can also be provided. Any provided weights will be added (in the case of VALUESPECIFIED) to or multiplied by (in the case of FACTORSPECIFIED) the existing weight(s). Consult Components and Identifiers for formatting and specifications.
There are several solution types to choose from:
Solver  Description  CPU Parallel 

ALLPATHS  Determines all reasonable paths between a source and destination pair.  X 
BACKHAUL_ROUTING  Determines the optimal routes between remote asset nodes and fixed asset nodes.  X 
CENTRALITY  Calculates the degree of a node to depict how many pairs of individuals that would have to go through the node to reach one another in the minimum number of hops. Also known as betweenness.  X 
CLOSENESS  Calculates the centrality closeness score per node as the sum of the inverse shortest path costs to all nodes in the graph.  X 
INVERSE_SHORTEST_PATH  Determines the shortest path downstream using multiple technician routing.  X 
MULTIPLE_ROUTING  Calculates the shortest possible route between the nodes and returns to the origin node  also known as the traveling salesman.  X 
PAGE_RANK  Calculates how connected the nodes are and determines which nodes are the most important. Weights are not required.  X 
PROBABILITY_RANK  Calculates the probability of a node being connected to another node using hidden Markov chains.  X 
SHORTEST_PATH  Determines the shortest path upstream between given source(s) and destination(s).  X 
STATS_ALL  Calculates graph statistics such as graph diameter, longest pairs, vertex valences, topology numbers, average and max cluster sizes, etc.  X 
NonBatch Solving
Nonbatch solving is utilized exclusively with every solver except for SHORTEST_PATH, in which case the length of the source and destination node lists will determine if nonbatch or Batch Solving is utilized. If the source and destination lists do not match and the SHORTEST_PATH solver is specified, batch solving will be used. If the source and destination node lists match in length (and SHORTEST_PATH is the specified solver), nonbatch solving will be used. This means that the first source index would only be matched with the first destination index, the second source index to the second destination index, etc.
For example, if you attempt to solve three unique sources (node_1, node_2, and node_3) to three unique destinations (dest_1, dest_2, dest_3) by only listing each source and destination once (calling /solve/graph with source_nodes set to ["node_1", "node_2", "node_3"] and destination_nodes set to ["dest_1", "dest_2", "dest_3"]), it would yield a result set like this:
+++  SOURCE  TARGET  +========+========+  node_1  dest_1  +++  node_2  dest_2  +++  node_3  dest_3  +++
Batch Solving
If using the SHORTEST_PATH solver, multiple sources can be routed to multiple destinations using batch solving. A batch will be defined by each unique source node visiting each destination node provided which will yield a Cartesian product.
Tip
Calculations from multiple unique sources are faster and more efficient than calculations with one unique source, but results may differ slightly between multiple unique source calculations and single unique source calculations (less than ~1% variance).
For example, if you wish to batch solve two unique sources (node_1, node_2) each routing to three unique destinations (dest_1, dest_2, dest_3), you'd list each source and each destination, noting that the solution will automatically map node_1 and node_2 to dest_1, dest_2, and dest_3 individually. A call to /solve/graph with source_nodes set to ["node_1", "node_2"] and destination_nodes set to ["dest_1", "dest_2", "dest_3"] would yield a result set like this:
+++  SOURCE  TARGET  +========+========+  node_1  dest_1  +++  node_1  dest_2  +++  node_1  dest_3  +++  node_2  dest_1  +++  node_2  dest_2  +++  node_2  dest_3  +++
However, if you wish to batch solve three unique sources (node_1, node_2, node_3) to three unique destinations (dest_1, dest_2, dest_3) (or n sources to n destinations for that matter), you'll need to list out all 9 combinations manually, e.g.,:


Important
Remember, if the source and destination nodes lists match in length, nonbatch solving is used.
The above setup would yield a similar result set as the first example:
+++  SOURCE  TARGET  +========+========+  node_1  dest_1  +++  node_1  dest_2  +++  node_1  dest_3  +++  node_2  dest_1  +++  node_2  dest_2  +++  node_2  dest_3  +++  node_3  dest_1  +++  node_3  dest_2  +++  node_3  dest_3  +++
Querying a Graph
Querying a graph is serviced by the /query/graph endpoint; this involves querying a graph for adjacent nodes (if provided edges) or adjacent edges (if provided nodes) using integer IDs, names, or WKT information. Additional adjacent rings around the specified nodes can also be queried. Results can be exported to a table in Kinetica.Requirements for querying a graph include:
 name of the graph to query
 a list of edge or node IDs, names, or WKTs to query
Important
Additional restrictions beyond those defined in the graph creation stage can also be provided. Query restrictions can utilize any of the restriction identifiers, including the unique LABEL identifiers.
Query Identifiers
Nodes or edges to be queried can be identified using any of the queryspecific identifiers below.Important
Consult Components and Identifiers and Identifier Combinations for general information on identifiers and combinations. Note that the same limitations that apply to /create/graph and /solve/graph identifiers also apply to /query/graph identifiers
Identifier  Supported Types  Description 

EDGE_ID  int, long  Defines the edge ID value that will be matched against in the source graph to determine the source for the query 
EDGE_LABEL  string  Defines the edge LABEL value that will be matched against in the source graph to determine the source(s) for the query See Using Labels for more information. 
EDGE_WKTLINE  wkt  Defines the edge WKTLINE value that will be matched against in the source graph to determine the source for the query 
HOP_ID  int, long  Defines the number of hops from the source node or edge at which the associated node or edge filter should be applied; use a negative number to allow directed edges to be traversed in the reverse direction for that hop number specifically See Using Hops for more information. 
NODE_ID  int, long  Defines the node ID value that will be matched against in the source graph to determine the source for the query 
NODE_LABEL  string  Defines the node LABEL value that will be matched against in the source graph to determine the source(s) for the query See Using Labels for more information. 
NODE_NAME  string  Defines the node NAME value that will be matched against in the the source graph to determine the source for the query 
NODE_WKTPOINT  wkt  Defines the node WKTPOINT value that will be matched against in the source graph to determine the source for the query 
NODE1_ID  int, long  Defines the node ID value that will be matched against in the source graph (in conjunction with NODE2_ID) to determine the source for the query 
NODE1_NAME  string  Defines the node NAME value that will be matched against in the source graph (in conjunction with NODE2_NAME) to determine the source for the query 
NODE1_WKTPOINT  wkt  Defines the node WKTPOINT value that will be matched against in the source graph (in conjunction with NODE2_WKTPOINT) to determine the source for the query 
NODE2_ID  int, long  Defines the node ID value that will be matched against in the source graph (in conjunction with NODE1_ID) to determine the source for the query 
NODE2_NAME  string  Defines the node NAME value that will be matched against in the source graph (in conjunction with NODE1_NAME) to determine the source for the query 
NODE2_WKTPOINT  wkt  Defines the node WKTPOINT value that will be matched against in the source graph (in conjunction with NODE1_WKTPOINT) to determine the source for the query 
TARGET_NODE_LABEL  string  Defines the node LABEL value that will be matched against in the source graph to determine the destination for the query as well as the path taken through the graph to arrive at the destination 
Query Identifier Combinations
To properly query a graph using identifiers, there's a minimum set of identifiers that must be used. Each identifier combination must reference columns from the same table, e.g., the combination NODE1_ID and NODE2_ID must both use columns from the same table. The columns must also not be nullable.
Nodes
The following combinations will query for edges adjacent to the node associated with the given information:
 NODE_ID
 NODE_NAME
 NODE_WKTPOINT
The following label can be used to select multiple matching nodes as the starting point:
 NODE_LABEL
The following identifier can be added to any valid node combination to match the associated node criteria at the given number of hops from the source:
 HOP_ID
Edges
The following combinations will query for nodes adjacent to the edge associated with the given information:
 EDGE_ID
 EDGE_WKTLINE
 NODE1_ID, NODE2_ID
 NODE1_NAME, NODE2_NAME
 NODE1_WKTPOINT, NODE2_WKTPOINT
The following label can be used to select multiple matching edges as the starting point:
 EDGE_LABEL
The following identifier can be added to any valid edge combination to match the associated edge criteria at the given number of hops from the source:
 HOP_ID
Using Query Identifiers
A node identifier can be used to identify the source of a query, returning features connected to that node within the provided number of rings:


Multiple node identifiers can be used to start the search from multiple sources:


Note
A rings value of 1 will return nodes connected directly to nodes that match the provided query exactly; in this case, the query would return movies connected to Al Pacino and actors/directors connected to The Godfather.
A set of edge identifiers can be used to determine whether there is a direct connection between two entities:


Note
The restriction & rings options do not apply when querying on edges, so only exact matches with edge identifiers are possible.
Important
Implicitly defined nodes, e.g., from graphs defined with just edges and/or weights, cannot be queried.
Node / Edge Labels
The NODE_LABEL and EDGE_LABEL query identifiers are not paired with other query combinations; they are used to retrieve only the nodes and/or edges associated with a given label.
For example, a node label could be used to find the directors of thrillers:


An edge label could be used to find all directors and the movies they've directed:


Target Labels
The TARGET_NODE_LABEL query identifier is always paired with another query combination to define a sourcedestination relationship and pathing for a query. This identifier also must follow an alreadydefined node LABEL. Note that an adjacency output table will have two additional columns if the TARGET_NODE_LABEL identifier is used:
 PATH_ID  an ID that helps identify the different paths taken to arrive at the query target if there is more than one adjacency for a given query.
 RING_ID  an ID that helps identify the steps taken to arrive at a query target. The RING_ID can also be referred to as the hop ID or number of hops it took to arrive at the query target
For example, with a rings of 3, a starting node of Jean Reno and a target node of drama; one could find actors & directors involved in dramas that have also acted in or directed Jean Reno movies:


The query results in two tablesthe adjacency table contains the result edges, while the adjacency node table contains the result nodes.
The adjacency node table for this query might show the following, that the drama Jean Reno is connected to in 3 hops is The Godfather:


The adjacency table for this query might show the following, that the path from Jean Reno to The Godfather is as follows:
 Jean Reno acted in Ronin
 Robert DeNiro acted in Ronin
 Robert DeNiro acted in the drama The Godfather


Using Hops
Queries can make use of hopbased filteringmatching only those nodes or edges at a certain hopdistance from the source node.
The number associated with the HOP_ID label tells the query at how many moves away from the source node or edge the paired query identifier should be matched. For instance, a HOP_ID of 3 paired with a NODE_LABEL of actor will only return results where the node 3 hops from the source has a label of actor.
To traverse directed (oneway) edges in the reverse direction for a given hop, make the HOP_ID a negative number. For instance, a HOP_ID of 2 will allow directed edges that are 2 hops from the source to be crossed in either direction. In contrast, the force_undirected option allows all directed edges to be traversed in either direction, regardless of distance from the source.
The following is an example query that returns the titles and directors of movies in which James Spader has acted, given an appropriately configured graph of actors, directors, & movies/shows. Here, the query starts with the James Spader actor node and uses the sequence of HOP_ID filters to:
 move to all the nodes in which James Spader has acted in the 1st hop
 filter out any 1sthop nodes which aren't a MOVIE (e.g., TV shows)
 find the director nodes connected to those movies in the 2nd hop; note the 2 for the HOP_ID allows edges from the director to the movie they directed, which are oneway edges from director to movie, to be traversed in reverse in order to find the director of the movie


Finding Common Labels
To find labels shared by both the source & target nodes in a query result, as well as labels shared by edges along the result path, use the find_common_labels option. This will return a LABELS column in the response edge list, or LABELS columns in both the edges & nodes output tables if adjacency_table is specified. The LABELS column will contain all labels that the edges along the result path have in common; and, when adjacency_table is given, all the labels that the source & target nodes have in common.
Matching a Graph
Matching a graph is serviced by the /match/graph endpoint; this involves matching a directed route implied by a given set of latitude/longitude points to an existing underlying road network graph using a given solution type. The solution is then calculated and output to two tables (consult /match/graph for more information):
 A table containing track information and the mean square error score  the lower the number, the more accurate a match.
 A table containing the coordinate information and how it relates to the track information and segment from the underlying graph.
Requirements for matching a graph include:
 name of the graph to match
 sample points
 solution type
Solution types available:
Solver  Description  CPU Parallel 

MARKOV_CHAIN  Matches sample points to the graph using the Hidden Markov Model (HMM)based method, which conducts a rangetree closestedge search to find the best combinations of possible road segments for each sample point to create the best route. The route is secured one point at a time, so the prediction is corrected after each point. This solution type is the most accurate, but also the most computationally intensive.  X 
MATCH_BATCH_SOLVES  Matches each provided sample source and destination pair using the shortest path between the points.  X 
MATCH_CHARGING_STATIONS  Matches a given sample source and destination pair to the optimal recharging stations along the route (for EVs).  X 
MATCH_CLUSTERS  Matches the graph nodes with a cluster index using the Louvain clustering algorithm. Note Parallel running of this solver is experimental and can be invoked with the parallel_clustering option.  X* 
MATCH_LOOPS  Matches closed loops (Eulerian paths) originating and ending at each graph node between min and max hops (levels).  X 
MATCH_OD_PAIRS  Matches sample points to find the most probable path between origin and destination (OD) pairs with given cost constraints.  X 
MATCH_SIMILARITY  Computes the Jaccard similarity between vertex pairs and Nlevel intersections within M hops.  X 
MATCH_SUPPLY_DEMAND  Matches sample generic supply depots to generic demand points using abstract transportation (referred to as trucks). Each route is determined by a truck's ability (size) to service demand at each demand point.  X 
Match Identifiers
Mapping a graph to a table requires a set of sample points. Sample points must be provided to the /match/graph endpoint using the unique identifiers below.
Important
Consult Components and Identifiers and Identifier Combinations for general information on identifiers and combinations. Note that the same limitations that apply to /create/graph and /solve/graph identifiers also apply to /match/graph identifiers
Identifier  Supported Types  Description 

DEMAND_ID  int, long  A number representing a demand's unique identifier 
DEMAND_PENALTY  int, long, float, double  A number representing the cost for unloading at this site per unit unloaded, regardless of which supplier is unloading at it, and in addition to the global unloading cost per unit 
DEMAND_REGION_ID  int, long  A number representing a demand source's unique identifier 
DEMAND_SIZE  int, long, float  A number representing the size of the primary (or only) demand; used in demanding the supply denoted by SUPPLY_SIZE 
DEMAND_SIZE2  int, long, float  A number representing the size of the secondary demand; used in demanding the supply denoted by SUPPLY_SIZE2, when there are two different demand type constraints (e.g., weight & volume) 
DEMAND_WKTPOINT  wkt  A WKT string representing a demand's geospatial source point 
DESTINATION_WKTPOINT  wkt  A WKT string representing a sample's geospatial destination point; e.g., POINT(X Y [Z]) See Geospatial Objects for more information on WKTs. 
ID  int, long  A number representing a sample's unique identifier 
NAME  string  A string value representing a sample's name 
OD_ID  int, long  A number representing an ODpairrelated sample's unique identifier 
OD_TIME  float, double  A number representing an origindestination (OD) pairrelated sample's cost Note OD_TIME may not necessarily depict time, e.g., if the graph's weights were distancebased, OD_TIME could theoretically reflect distance as well, assuming the values are consistent with the values used to create the original weights. 
ORIGIN_WKTPOINT  wkt  A WKT string representing a sample's geospatial origin point; e.g., POINT(X Y [Z]) See Geospatial Objects for more information on WKTs. 
PRIORITY  int  A number representing a sample's priority in match processing 
SUPPLY_ID  int, long  A number representing a supplier's unique identifier 
SUPPLY_ODDEVEN  int  A number representing whether the supplier is "odd", "even", or neither; used in applying odd/evenbased restrictions, such as those used in Jakarta, Indonesia:

SUPPLY_PENALTY  int, long, float, double  A number representing the cost for unloading this supplier per unit unloaded, regardless of which demand site it is visiting, and in addition to the global unloading cost per unit 
SUPPLY_REGION_ID  int, long  A number representing a supplier source's unique identifier 
SUPPLY_SIZE  int, long, float  A number representing a supplier's primary (or only) capacity; used in meeting the demand denoted by DEMAND_SIZE 
SUPPLY_SIZE2  int, long, float  A number representing a supplier's secondary capacity; used in meeting the demand denoted by DEMAND_SIZE2, when there are two different capacity type constraints (e.g., weight & volume) 
SUPPLY_WKTPOINT  wkt  A WKT string representing a supplier's geospatial source point 
TIME  long, double  A number representing a sample's time value Note TIME could theoretically represent any time unit (seconds, minutes, epoch, etc.) as long as the representations are consistent for the column in the source table. 
TRIPID  int, long  A number representing a unique trip identifier 
WKTPOINT  wkt  A WKT string representing a sample's geospatial point; e.g., POINT(X Y [Z]) See Geospatial Objects for more information on WKTs. 
X  float, double  A number representing a sample's X or longitude value 
Y  float, double  A number representing a sample's Y or latitude value 
Note
Records with a timestamp of 0 for the TIME column will be ignored when calculating the solution.
Match Identifier Combinations
To properly match a graph using identifiers, there's a minimum set of identifiers that must be used. Each identifier combination must reference columns from the same table, e.g., the combination WKTPOINT and TIME must both use columns from the same table. The columns must also not be nullable. The valid match identifier combinations per match graph solver are as follows:
Markov Chain
 X, Y, TIME
 WKTPOINT, TIME
 X, Y, TIME, TRIPID
 WKTPOINT, TIME, TRIPID
Note
If using the TRIPID identifier to match the graph, all trip IDs will be used in the solution.
Match Batch Solves
 ORIGIN_WKTPOINT, DESTINATION_WKTPOINT, OD_ID
Match Loops
 ID
 NAME
 WKTPOINT
Note
Using no identifier combination will result in loops being searched for across the entire graph
Match OD Pairs
 ORIGIN_WKTPOINT, DESTINATION_WKTPOINT, OD_TIME
 ORIGIN_WKTPOINT, DESTINATION_WKTPOINT, OD_TIME, OD_ID
Match Supply Demand
A supply and demand combination are used in conjunction with each other to match suppliers to demand. Reference Identifier Combinations for using multiple combinations syntax.
Demand Combinations
 DEMAND_ID, DEMAND_WKTPOINT, DEMAND_SIZE, DEMAND_REGION_ID
 DEMAND_ID, DEMAND_WKTPOINT, DEMAND_SIZE, DEMAND_REGION_ID, PRIORITY
Any or all of the following identifiers can be added to a demand combination:
 DEMAND_PENALTY
 DEMAND_SIZE2 (must be paired with a supply combination using SUPPLY_SIZE2 )
Supply Combinations
 SUPPLY_REGION_ID, SUPPLY_WKTPOINT, SUPPLY_ID, SUPPLY_SIZE
Any or all of the following identifiers can be added to a supply combination:
 SUPPLY_ODDEVEN
 SUPPLY_PENALTY
 SUPPLY_SIZE2 (must be paired with a demand combination using DEMAND_SIZE2 )
Showing a Graph
Using /show/graph will provide detailed information about a graph, including number of nodes and edges in the graph, whether the graph is directed or persisted, and more.
Deleting a Graph
Deleting a graph is serviced by the /delete/graph endpoint; this involves providing a graph name to delete the graph from the graph server (memory) and persist (if applicable).
Tip
If a graph was saved to persist upon creation and then was deleted from the server (but NOT persist), it can be reloaded from persist by recreating the graph using the same graph_name.
Managing Permissions for a Graph
Graph permissions can be managed either through SQL or through the native API.
Examples
For detailed usage of the graph capability, see Guides:
Limitations and Cautions
 Groups of valid identifier combinations must be from the same table, e.g., node ID & NAME must reference columns from the same table
 Node, edge, weight, and optional restriction identifiers should be matched to yield a useful graph ( and , etc.)
 Groups of valid numerical identifier combinations must be the same type, e.g., if edge ID is identified from an int column, both edge NODE1_ID & NODE2_ID must also be int
 Graphs cannot be created using columns with the nullable property
 If no ID identifier is provided, weights will be matched with edges by table row, e.g., the first record in the weight table will be used for the first record in the edge table (should the weights and edges be separate). If two weights are specified for the same edge, the weights are added (if both are using the VALUESPECIFIED identifier) or multiplied (if one or both are using the FACTORSPECIFIED identifier) together.
 A node or edge can have up to 64 unique labels.