GRAPH UTILITIES PACKAGE SYMBOL
GraphDistance
gives the distance from vertex i to vertex j in the graph g.
- To use
, you first need to load the Graph Utilities Package using Needs["GraphUtilities`"].
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:
-
| Weighted | False | specifies whether edge weight is to be used in calculating distance |
This defines a simple directed graph:
| Out[3]= |  |
This calculates the distance from vertex 1 to vertex 5:
| Out[4]= |  |
There is no path from vertex 4 to vertex 1:
| Out[5]= |  |
This defines a simple directed graph with edge weights:
| Out[7]= |  |
This shows that the distance from vertex 1 to 3 is 2 if unit edge weights are assumed:
| Out[8]= |  |
But the distance becomes 0 if edge weights are taken into account:
| Out[9]= |  |
