This is documentation for Mathematica 8, which was
based on an earlier version of the Wolfram Language.
View current documentation (Version 11.2)


gives the set of vertices with minimum eccentricity in the graph g.
Give the graph center for a graph:
Highlight the center:
Give the graph center for a graph:
Click for copyable input
Click for copyable input
Highlight the center:
Click for copyable input
GraphCenter works with undirected graphs:
Directed graphs:
Weighted graphs:
Works with large graphs:
People at a family gathering:
Use Subsets to create edges between all members of the family:
The resulting social graph:
Find the people who are most closely related to everybody at the gathering:
In a connected graph, the center can be found using VertexEccentricity:
For a CompleteGraph, every vertex is at the center:
For a PathGraph with positive weights, there is either one center vertex or two center vertices:
For a CycleGraph, all vertices are in the center:
For a WheelGraph of size 5 or more, the hub is the graph center:
For a GridGraph, the center forms a grid with all dimensions being one or two:
For a CompleteKaryTree, the root vertex is the center:
New in 8