Wong graph

Wong graph
Named after	Pak-Ken Wong
Vertices	30
Edges	75
Radius	3
Diameter	3
Girth	5
Automorphisms	96
Chromatic number	4
Chromatic index	5
Properties	Cage
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. 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.

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

Algebraic properties

The characteristic polynomial of the Wong graph is

$(x-5)(x+1{)}^2(x^2-5{)}^3(x-1{)}^5(x^2+x-5{)}^8.$