A Construction of Small $(q-1)$-Regular Graphs of Girth 8

  • M. Abreu
  • G. Araujo-Pardo
  • C. Balbuena
  • D. Labbate
Keywords: Cages, Girth, Moore Graphs, Perfect Dominating Sets

Abstract

In this note we construct a new infinite family of $(q-1)$-regular graphs of girth 8 and order $2q(q-1)^2$ for all prime powers $q\geq 16$, which are the smallest known so far whenever $q-1$ is not a prime power or a prime power plus one itself.

Published
2015-04-21
Article Number
P2.10