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- W2743770178 abstract "This paper is a continuation of arXiv:1612.03873. We prove a three-parameter family of identities (Theorem 1.1) involving a version of the Tutte polynomial for directed graphs introduced by Awan and Bernardi in arXiv:1610.01839. A particular case of this family (Corollary 1.6) is the higher-degree generalization of the matrix-tree theorem proved in arXiv:1612.03873, which thus receives a new proof, shorter (and less direct) than the original one. The theory has a parallel version for undirected graphs (Theorem 1.2)." @default.
- W2743770178 created "2017-08-17" @default.
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- W2743770178 date "2017-03-12" @default.
- W2743770178 modified "2023-09-27" @default.
- W2743770178 title "Abstract matrix-tree theorem and Bernardi polynomial" @default.
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