# New bounds for the acyclic chromatic index

@article{Bernshteyn2016NewBF,
title={New bounds for the acyclic chromatic index},
author={Anton Bernshteyn},
journal={Discret. Math.},
year={2016},
volume={339},
pages={2543-2552}
}
• Anton Bernshteyn
• Published 19 December 2014
• Computer Science, Mathematics
• Discret. Math.
An edge coloring of a graph G is called an acyclic edge coloring if it is proper and every cycle in G contains edges of at least three different colors. The least number of colors needed for an acyclic edge coloring of G is called the acyclic chromatic index of G and is denoted by a ' ( G ) . Fiamcik (1978) and independently Alon, Sudakov, and Zaks (2001) conjectured that a ' ( G ) ź Δ ( G ) + 2 , where Δ ( G ) denotes the maximum degree of G . The best known general bound is a ' ( G ) ź 4… Expand

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