首页|A fast distributed algorithm for (Delta+1)-edge-coloring

A fast distributed algorithm for (Delta+1)-edge-coloring

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We present a deterministic distributed algorithm in the LOCAL model that finds a proper (Delta + 1)-edge-coloring of an n-vertex graph of maximum degree Delta in poly(Delta, log n) rounds. This is the first nontrivial distributed edge-coloring algorithm that uses only Delta + 1 colors (matching the bound given by Vizing's theorem). Our approach is inspired by the recent proof of the measurable version of Vizing's theorem due to Grebik and Pikhurko. (c) 2021 Elsevier Inc. All rights reserved.

Edge-coloringVizing's theoremDistributed algorithmsLOCAL modelPARALLEL ALGORITHMLOCALITY

Bernshteyn, Anton

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Carnegie Mellon Univ

2022

Journal of Combinatorial Theory

Journal of Combinatorial Theory

ISSN:0095-8956
年,卷(期):2022.152
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