On Tutte's extension of the four-colour problem

P. D. Seymour

doi:10.1016/S0095-8956(81)80013-5

On Tutte's extension of the four-colour problem

P. D. Seymour

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Abstract

In 1966, Tutte presented a problem about matroids which contained as special cases the four-colour problem and two graph-theoretic extensions of it and he gave a conjecture as to the general solution. In this paper we reduce the matroid problem to one of the graph-theoretic special cases (the so-called 4-flow problem), and we show that his general conjecture is correct if it is true in this special case.

Original language	English (US)
Pages (from-to)	82-94
Number of pages	13
Journal	Journal of Combinatorial Theory, Series B
Volume	31
Issue number	1
DOIs	https://doi.org/10.1016/S0095-8956(81)80013-5
State	Published - Aug 1981
Externally published	Yes

All Science Journal Classification (ASJC) codes

Theoretical Computer Science
Discrete Mathematics and Combinatorics
Computational Theory and Mathematics

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10.1016/S0095-8956(81)80013-5

Cite this

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AB - In 1966, Tutte presented a problem about matroids which contained as special cases the four-colour problem and two graph-theoretic extensions of it and he gave a conjecture as to the general solution. In this paper we reduce the matroid problem to one of the graph-theoretic special cases (the so-called 4-flow problem), and we show that his general conjecture is correct if it is true in this special case.

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On Tutte's extension of the four-colour problem

Abstract

All Science Journal Classification (ASJC) codes

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