The Circular Chromatic Index of Flower Snarks

  • Mohammad Ghebleh
  • Daniel Král'
  • Serguei Norine
  • Robin Thomas

Abstract

We determine the circular chromatic index of flower snarks, by showing that $\chi'_c(F_{3})=7/2$, $\chi'_c(F_{5})=17/5$ and $\chi'_c(F_{k})=10/3$ for every odd integer $k\ge 7$, where $F_k$ denotes the flower snark on $4k$ vertices.

Published
2006-11-17
Article Number
N20