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Journal of Combinatorial Theory Series B
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Journal of Combinatorial Theory Series B
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Claim

Tutte's Edge-Colouring Conjecture

Tutte's edge-colouring conjecture
descriptionPublicationkeyboard_double_arrow_right Article 01 May 1997 English Publisher:Elsevier BVJournal:Journal of Combinatorial Theory, Series B, volume 70, pages 166-183 (issn: 0095-8956, Copyright policy )Funded by:NSF | Mathematical Sciences: St..., NSF | Mathematical Sciences: Ex...
Authors: Neil Robertson 0001; Paul D. Seymour; Robin Thomas 0001;

doi: 10.1006/jctb.1997.1752

Tutte's Edge-Colouring Conjecture

Abstract

In 1966 Tutte conjectured that every 2-connected cubic graph not containing the Petersen graph as a minor is 3-edge-colourable. The conjecture is still open, but it is shown in this paper that it is true in general, provided that it is true for two special kinds of cubic graphs that are almost planar.

Related Organizations
Keywords

Coloring of graphs and hypergraphs, Computational Theory and Mathematics, cubic graph, Discrete Mathematics and Combinatorics, Petersen graph, Theoretical Computer Science

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    popularity
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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
27
Top 10%
Top 10%
Average
hybrid