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math.CO2021
On the Tutte and matching polynomials for complete graphs
Tomer Kotek, Johann A. Makowsky
Let be the Tutte polynomial for graphs. We study the sequence where are non-negative integers, and show that for every the sequ…
math.CO2021
Almost Unimodal and Real-Rooted Graph Polynomials
Johann A. Makowsky, Vsevolod Rakita
It is well known that the coefficients of the matching polynomial are unimodal. Unimodality of the coefficients (or their absolute values) of other graph polynomials have been stud…