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GraphDistance

GraphDistance[g, i, j]
gives the distance from vertex i to vertex j in the graph g.

MORE INFORMATION

To use GraphDistance, you first need to load the Graph Utilities Package using Needs["GraphUtilities`"].

GraphDistance returns the graph distance from one vertex to another. Infinity is returned if no path exists from i to j. By default every edge is assumed to have an edge weight of 1.

The following option can be used:

specifies whether edge weight is to be used in calculating distance

Basic Examples (1)

Needs["GraphUtilities`"]

This defines a simple directed graph:

This calculates the distance from vertex 1 to vertex 5:

There is no path from vertex 4 to vertex 1:

This defines a simple directed graph with edge weights:

This shows that the distance from vertex 1 to 3 is 2 if unit edge weights are assumed:

But the distance becomes 0 if edge weights are taken into account:

Applications (1)

Possible Issues (1)

ClosenessCentrality

Graph Utilities Package

Graph Utilities Package

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