Wong graph

Wong graph
Named afterPak-Ken Wong
Vertices30
Edges75
Radius3
Diameter3
Girth5
Automorphisms96
Chromatic number4
Chromatic index5
PropertiesCage
Table of graphs and parameters

In the mathematical field of graph theory, the Wong graph is a 5-regular undirected graph with 30 vertices and 75 edges.[1][2] It is one of the four (5,5)-cage graphs, the others being the Foster cage, the Meringer graph, and the Robertson–Wegner graph.

Like the unrelated Harries–Wong graph, it is named after Pak-Ken Wong.[3]

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

Algebraic properties

The characteristic polynomial of the Wong graph is

References

  1. ^ Weisstein, Eric W. "Wong Graph". MathWorld.
  2. ^ Meringer, Markus (1999), "Fast generation of regular graphs and construction of cages", Journal of Graph Theory, 30 (2): 137–146, doi:10.1002/(SICI)1097-0118(199902)30:2<137::AID-JGT7>3.0.CO;2-G, MR 1665972.
  3. ^ Wong, P. K. "Cages--A Survey." J. Graph Th. 6, 1-22, 1982.

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