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arXiv · 2402.04526

A polynomial time algorithm to find star chromatic index on bounded treewidth graphs with given maximum degree

Yichen Wang·Mei Lu
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Abstract

A star edge coloring of a graph $G$ is a proper edge coloring with no 2-colored path or cycle of length four. The star edge coloring problem is to find an edge coloring of a given graph $G$ with minimum number $k$ of colors such that $G$ admits a star edge coloring with $k$ colors. This problem is known to be NP-complete. In this paper, for a bounded treewidth graph with given maximum degree, we show that it can be solved in polynomial time.

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Yichen Wang, Mei Lu. 2024-02-07. A polynomial time algorithm to find star chromatic index on bounded treewidth graphs with given maximum degree. https://arxiv.org/abs/2402.04526

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