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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)


Upper bounds for vertex degrees of planar $ 5$-chromatic graphs

Author: Lee W. Johnson
Journal: Trans. Amer. Math. Soc. 181 (1973), 53-59
MSC: Primary 05C15
MathSciNet review: 0321780
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Abstract: Upper bounds are given for the degrees of vertices in planar $ 5$-chromatic graphs. Some inequalities are derived for irreducible graphs which restrict the type of planar graphs that can be irreducible.

References [Enhancements On Off] (What's this?)

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  • [2] A. Errera, Une contribution au problème des quatre couleurs, Bull. Soc. Math. France 53 (1925), 42–55 (French). MR 1504874
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Additional Information

PII: S 0002-9947(1973)0321780-8
Keywords: $ 4$-color problem, irreducible graphs, vertex degree, planar graphs
Article copyright: © Copyright 1973 American Mathematical Society

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