# Edge-colouring eight-regular planar graphs

## Author(s): Chudnovsky, Maria; Edwards, Katherine; Seymour, Paul D.

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DC FieldValueLanguage
dc.contributor.authorChudnovsky, Maria-
dc.contributor.authorEdwards, Katherine-
dc.contributor.authorSeymour, Paul D.-
dc.date.accessioned2017-04-04T20:16:39Z-
dc.date.available2017-04-04T20:16:39Z-
dc.date.issued2015-11en_US
dc.identifier.citationM. Chudnovsky, K. Edwards, P. Seymour, Edge-colouring eight-regular planar graphs, J. Combin. Theory Ser. B 115 (2015) 303–338, http://dx.doi.org/10.1016/j.jctb.2015.05.002.en_US
dc.identifier.urihttp://arks.princeton.edu/ark:/88435/pr1xw34-
dc.description.abstractIt was conjectured by the third author in about 1973 that every $d$-regular planar graph (possibly with parallel edges) can be $d$-edge-coloured, provided that for every odd set $X$ of vertices, there are at least $d$ edges between $X$ and its complement. For $d = 3$ this is the four-colour theorem, and the conjecture has been proved for all $d\le 7$, by various authors. Here we prove it for $d = 8$.en_US
dc.format.extent303–338en_US
dc.language.isoen_USen_US
dc.relation.ispartofJournal of combinatorial theory. Series B.en_US
dc.rightsAuthor's manuscripten_US
dc.titleEdge-colouring eight-regular planar graphsen_US
dc.typeJournal Articleen_US
dc.identifier.doi10.1016/j.jctb.2015.05.002-
dc.date.eissued2015-05-18en_US
pu.type.symplectichttp://www.symplectic.co.uk/publications/atom-terms/1.0/journal-articleen_US

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