On Generalizations of the Petersen Graph and the Coxeter Graph

Marko Orel

Abstract


In this note we consider two related infinite families of graphs, which generalize the Petersen and the Coxeter graph. The main result proves that these graphs are cores. It is determined which of these graphs are vertex/edge/arc-transitive or distance-regular. Girths and odd girths are computed. A problem on hamiltonicity is posed.


Keywords


Core; Petersen graph; Coxeter graph; Hermitian matrix; Symmetric matrix

Full Text:

PDF