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The Tutte polynomial of a morphism of matroids I. Set-pointed matroids and matroid perspectives

The Tutte polynomial of a morphism of matroids I. Set-pointed matroids and matroid perspectives

We study the basic algebraic properties of a 3-variable Tutte polynomial the author has associated with a morphism of matroids, more precisely with a matroid strong map, or matroid perspective in the present paper, or, equivalently by the Factorization Theorem, with a matroid together with a distinguished subset of elements. …