1-Factors and Polynomials

In this paper we give a fuller exposition of a property of 1-factors discussed in [1]. The 1-factors of cubic graphs are found to be enumerated by a graph-function closley related to the chromatic and flow polynomials. The first part of the paper is a short account, with some minor improvements, of...

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Bibliographic Details
Published inEuropean journal of combinatorics Vol. 1; no. 1; pp. 77 - 87
Main Author Tutte, W.T.
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.03.1980
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Summary:In this paper we give a fuller exposition of a property of 1-factors discussed in [1]. The 1-factors of cubic graphs are found to be enumerated by a graph-function closley related to the chromatic and flow polynomials. The first part of the paper is a short account, with some minor improvements, of the theory of V-functions and φ-functions first set out in [1].
ISSN:0195-6698
1095-9971
DOI:10.1016/S0195-6698(80)80025-4