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arXiv · 1706.04746

Improved Distributed Degree Splitting and Edge Coloring

Mohsen Ghaffari·Juho Hirvonen·Fabian Kuhn·Yannic Maus·Jukka Suomela·Jara Uitto
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Abstract

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 [SODA'17]: 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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Mohsen Ghaffari, Juho Hirvonen, Fabian Kuhn, Yannic Maus, Jukka Suomela, Jara Uitto. 2019-01-03. Improved Distributed Degree Splitting and Edge Coloring. https://doi.org/10.1007/s00446-018-00346-8

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