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.


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