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arXiv · 0806.4848

Graph polynomials and Tutte-Grothendieck invariants: an application of elementary finite Fourier analysis

Andrew Goodall
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Abstract

This paper is based on a series of talks given at the Patejdlovka Enumeration Workshop held in the Czech Republic in November 2007. The topics covered are as follows. The graph polynomial, Tutte-Grothendieck invariants, an overview of relevant elementary finite Fourier analysis, the Tutte polynomial of a graph as a Hamming weight enumerator of its set of tensions (or flows), and a description of a family of polynomials containing the graph polynomial which yield Tutte-Grothendieck invariants in a similar way.

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Andrew Goodall. 2008-06-30. Graph polynomials and Tutte-Grothendieck invariants: an application of elementary finite Fourier analysis. https://arxiv.org/abs/0806.4848

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