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math.CO2025
Multivariate Tutte polynomials of semimatroids
Houshan Fu
We introduce and investigate multivariate Tutte polynomials, dichromatic polynomials, subset-corank polynomials, size-corank polynomials, and rank generating polynomials of semimat…
math.CO2025
Characteristic polynomials of semimatroids and their connections to matroids, hyperplane arrangements and graph colorings
Houshan Fu
We primarily investigate the properties of characteristic polynomials of semimatroids. In particular, we provide a combinatorial interpretation of their coefficients, generalizing…