gives the set of vertices with minimum eccentricity in the graph g.
uses rules vw to specify the graph g.
Examplesopen allclose all
GraphCenter works with undirected graphs:
Use Subsets to create edges between all members of the family:
Properties & Relations (7)
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: