Improved distributed degree splitting and edge coloring

Mohsen Ghaffari, Juho Hirvonen, Fabian Kuhn*, Yannic Maus, Jukka Suomela, Jara Uitto

*Tämän työn vastaava kirjoittaja

Tutkimustuotos: LehtiartikkeliArticleScientificvertaisarvioitu

Abstrakti

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.

AlkuperäiskieliEnglanti
Sivumäärä18
JulkaisuDISTRIBUTED COMPUTING
DOI - pysyväislinkit
TilaSähköinen julkaisu (e-pub) ennen painettua julkistusta - 4 helmikuuta 2019
OKM-julkaisutyyppiA1 Julkaistu artikkeli, soviteltu

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