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Bibliographic Details
Main Authors:	Wang, Yichen, Lu, Mei
Format:	Preprint
Published:	2024
Subjects:	Combinatorics
Online Access:	https://arxiv.org/abs/2402.04526
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_version_	1866909096432631808
author	Wang, Yichen Lu, Mei
author_facet	Wang, Yichen Lu, Mei
contents	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.
format	Preprint
id	arxiv_https___arxiv_org_abs_2402_04526
institution	arXiv
publishDate	2024
record_format	arxiv
spellingShingle	A polynomial time algorithm to find star chromatic index on bounded treewidth graphs with given maximum degree Wang, Yichen Lu, Mei Combinatorics 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.
title	A polynomial time algorithm to find star chromatic index on bounded treewidth graphs with given maximum degree
topic	Combinatorics
url	https://arxiv.org/abs/2402.04526

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// Anecdotal testing Today and Yesterday seems to indicate destroy() // is called by the garbage collector and everything is good. // Something to keep in mind though. return 0; } /** * Write function that is called when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ public function write($sessId, $data): bool { if ($this->writesDisabled) { return true; } return $this->saveSession($sessId, $data); } /** * A function that is called internally when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ abstract protected function saveSession($sessId, $data): bool; }

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