Coxeter graph

Coxeter graph
The Coxeter graph
Named afterH. S. M. Coxeter
Vertices28
Edges42
Radius4
Diameter4
Girth7
Automorphisms336 (PGL2(7))
Chromatic number3
Chromatic index3
Book thickness3
Queue number2
PropertiesSymmetric
Distance-regular
Distance-transitive
Cubic
Hypohamiltonian
Table of graphs and parameters

In the mathematical field of graph theory, the Coxeter graph is a 3-regular graph with 28 vertices and 42 edges. It is one of the 13 known cubic distance-regular graphs. It is named after Harold Scott MacDonald Coxeter.