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On the compatible sets expansion of the Tutte polynomial
Preprint
27 April 2022
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Abstract
Kochol (2021) recently gave a new expansion formula for the Tutte polynomial of a matroid using the notion of compatible sets, and asked how this expansion relates to the internal-external activities formula. Here, we provide an answer, which is obtained as a special case of our generalization of the expansion formula to Las Vergnas's trivariate Tutte polynomials of matroid perspectives.