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Acyclic edge colourings of graphs with large girth
Published 12 Nov 2014 in math.CO and cs.DM | (1411.3047v2)
Abstract: An edge colouring of a graph $G$ is called acyclic if it is proper and every cycle contains at least three colours. We show that for every $\varepsilon>0$, there exists a $g=g(\varepsilon)$ such that if $G$ has girth at least $g$ then $G$ admits an acyclic edge colouring with at most $(1+\varepsilon)\Delta$ colours.
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