`GRAPH_ABSOLUTE_BETWEENNESS (graphName, options)`

The GRAPH\_ABSOLUTE\_BETWEENNESS function returns the
[betweenness](http://en.wikipedia.org/wiki/Betweenness_centrality)
of all vertices in the graph.

The complexity of the function is described
[here](#the-complexity-of-the-shortest-path-algorithms).


* *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 betweenness can not be calculated.

@EXAMPLES

A route planner example, the absolute betweenness of all locations.

@EXAMPLE_ARANGOSH_OUTPUT{generalGraphAbsBetweenness1}
  var examples = require("@arangodb/graph-examples/example-graph.js");
  var g = examples.loadGraph("routeplanner");
  db._query("RETURN GRAPH_ABSOLUTE_BETWEENNESS('routeplanner', {})").toArray();
~ examples.dropGraph("routeplanner");
@END_EXAMPLE_ARANGOSH_OUTPUT

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

@EXAMPLE_ARANGOSH_OUTPUT{generalGraphAbsBetweenness2}
  var examples = require("@arangodb/graph-examples/example-graph.js");
  var g = examples.loadGraph("routeplanner");
| db._query("RETURN GRAPH_ABSOLUTE_BETWEENNESS("
  +"'routeplanner', {weight : 'distance'})").toArray();
~ examples.dropGraph("routeplanner");
@END_EXAMPLE_ARANGOSH_OUTPUT

A route planner example, the absolute closeness regarding only
outbound paths.

@EXAMPLE_ARANGOSH_OUTPUT{generalGraphAbsBetweenness3}
  var examples = require("@arangodb/graph-examples/example-graph.js");
  var g = examples.loadGraph("routeplanner");
| db._query("RETURN GRAPH_ABSOLUTE_BETWEENNESS("
| + "'routeplanner', {direction : 'outbound', weight : 'distance'})"
).toArray();
~ examples.dropGraph("routeplanner");
@END_EXAMPLE_ARANGOSH_OUTPUT