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Strong chromatic index of subcubic planar multigraphs

Kostochka, A. V.
Santana, M.
Li, X.
Yu, G.
Abstract
The strong chromatic index of a multigraph is the minimum k such that the edge set can be k-colored requiring that each color class induces a matching. We verify a conjecture of Faudree, Gyarfas, Schelp and Tuza, showing that every planar multigraph with maximum degree at most 3 has strong chromatic index at most 9, which is sharp. (C) 2015 Elsevier Ltd. All rights reserved.
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2016-01-01
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Mathematics
DOI
10.1016/j.ejc.2015.07.002
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