arangodb/Documentation/DocuBlocks/JSF_aql_general_graph_betweenness.md

GRAPH_BETWEENNESS (graphName, options)

The GRAPH_BETWEENNESS function returns the betweenness of graphs vertices.

The complexity of the function is described here.

Parameters

• graphName : The name of the graph as a string.
• options : An object containing the following options:
  • direction : The direction of the edges. Possible values are outbound, inbound and any (default).
  • weight : The name of the attribute of the edges containing the length.
  • defaultWeight : Only used with the option weight. If an edge does not have the attribute named as defined in option weight this default is used as length. If no default is supplied the default would be positive Infinity so the path and hence the eccentricity can not be calculated.

@EXAMPLES

A route planner example, the betweenness of all locations.

@EXAMPLE_ARANGOSH_OUTPUT{generalGraphBetweenness1} var examples = require("@arangodb/graph-examples/example-graph.js"); var g = examples.loadGraph("routeplanner"); db._query("RETURN GRAPH_BETWEENNESS('routeplanner')").toArray(); ~ examples.dropGraph("routeplanner"); @END_EXAMPLE_ARANGOSH_OUTPUT

A route planner example, the betweenness of all locations. This considers the actual distances.

@EXAMPLE_ARANGOSH_OUTPUT{generalGraphBetweenness2} var examples = require("@arangodb/graph-examples/example-graph.js"); var g = examples.loadGraph("routeplanner"); db._query("RETURN GRAPH_BETWEENNESS('routeplanner', {weight : 'distance'})").toArray(); ~ examples.dropGraph("routeplanner"); @END_EXAMPLE_ARANGOSH_OUTPUT

A route planner example, the betweenness regarding only outbound paths.

@EXAMPLE_ARANGOSH_OUTPUT{generalGraphBetweenness3} var examples = require("@arangodb/graph-examples/example-graph.js"); var g = examples.loadGraph("routeplanner"); | db._query("RETURN GRAPH_BETWEENNESS("

• "'routeplanner', {direction : 'outbound', weight : 'distance'})").toArray(); ~ examples.dropGraph("routeplanner"); @END_EXAMPLE_ARANGOSH_OUTPUT