A recurrence for certain Tutte polynomials

Vincent Brugidou

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arXiv · 2509.20959

A recurrence for certain Tutte polynomials

Vincent Brugidou

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Abstract

We combinatorially prove a new recurrence between the Tutte polynomials of graphs obtained by contraction of the complete graphs $K_{n}$%. This generalizes, to two variables, a relation previously obtained by the author between the inversion enumerator polynomials in the colored tree sequences.

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Vincent Brugidou. 2025-11-18. A recurrence for certain Tutte polynomials. https://arxiv.org/abs/2509.20959

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