Robertson–Wegner_graph

Robertson–Wegner graph

Robertson–Wegner graph

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In the mathematical field of graph theory, the Robertson–Wegner graph is a 5-regular undirected graph with 30 vertices and 75 edges named after Neil Robertson and Gerd Wegner.[2][3][4]

Quick Facts Named after, Vertices ...

It is one of the four (5,5)-cage graphs, the others being the Foster cage, the Meringer graph, and the Wong graph.

It has chromatic number 4, diameter 3, and is 5-vertex-connected.

Algebraic properties

The characteristic polynomial of the Robertson–Wegner graph is

References

  1. [1]
    Weisstein, Eric W. "Class 2 Graph". MathWorld.
  2. [2]
    Weisstein, Eric W. "Robertson–Wegner Graph". MathWorld.
  3. [3]
    Bondy, J. A. and Murty, U. S. R. Graph Theory with Applications. New York: North Holland, p. 238, 1976.
  4. [4]
    Wong, P. K. "A note on a paper of G. Wegner", Journal of Combinatorial Theory, Series B, 22:3, June 1977, pgs 302-303, doi:10.1016/0095-8956(77)90081-8
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