As of Version 10, all the functionality of the GraphUtilities package is built into the Wolfram System. >>
is an option to PseudoDiameter that specifies whether an extra iteration is to be carried out.
- To use , you first need to load the Graph Utilities Package using Needs["GraphUtilities`"].
- A graph geodesic is the shortest path between two vertices of a graph. The graph diameter is the longest possible length of all graph geodesics of the graph. PseudoDiameter finds an approximate graph diameter. It works by starting from a vertex u, and finds a vertex v that is farthest away from u. This process is repeated by treating v as the new starting vertex, and ends when the graph distance no longer increases. A vertex from the last level set that has the smallest degree is chosen as the final starting vertex u, and a traversal is done to see if the graph distance can be increased. This graph distance is taken to be the pseudo-diameter.
- With the setting Aggressive->True, a traversal is carried out from each vertex in the last level set. This can give a larger pseudo-diameter on occasions.