Improved distributed degree splitting and edge coloring

The degree splitting problem requires coloring the edges of a graph red or blue such that each node has almost the same number of edges in each color, up to a small additive discrepancy. The directed variant of the problem requires orienting the edges such that each node has almost the same number o...

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Bibliographic Details
Published in:Distributed computing Vol. 33; no. 3-4; pp. 293 - 310
Main Authors: Ghaffari, Mohsen, Hirvonen, Juho, Kuhn, Fabian, Maus, Yannic, Suomela, Jukka, Uitto, Jara
Format: Journal Article
Language:English
Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2020
Springer Nature B.V
Subjects:
Algorithms
Computer Communication Networks
Computer Hardware
Computer Science
Computer Systems Organization and Communication Networks
Graph coloring
Graph theory
Software Engineering/Programming and Operating Systems
Theory of Computation
Distributed graph algorithms
Degree splitting
Discrepancy
Edge coloring
ISSN:0178-2770, 1432-0452
Online Access:Get full text
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Summary:The degree splitting problem requires coloring the edges of a graph red or blue such that each node has almost the same number of edges in each color, up to a small additive discrepancy. The directed variant of the problem requires orienting the edges such that each node has almost the same number of incoming and outgoing edges, again up to a small additive discrepancy. We present deterministic distributed algorithms for both variants, which improve on their counterparts presented by Ghaffari and Su (Proc SODA 2017:2505–2523, 2017 ): our algorithms are significantly simpler and faster, and have a much smaller discrepancy. This also leads to a faster and simpler deterministic algorithm for ( 2 + o ( 1 ) ) Δ -edge-coloring, improving on that of Ghaffari and Su.
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ISSN:0178-2770
1432-0452
DOI:10.1007/s00446-018-00346-8