Defines dual Chow polynomials via sign-twisted kernels on posets and proves unimodality, gamma-positivity, and deletion formulas for matroids.
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Explicit formulas and generating functions are obtained for inverse Kazhdan-Lusztig and inverse Z-polynomials of fan matroids, with coefficients proven log-concave and internally zero-free.
citing papers explorer
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Dual Chow polynomials of matroids and posets
Defines dual Chow polynomials via sign-twisted kernels on posets and proves unimodality, gamma-positivity, and deletion formulas for matroids.
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Inverse Kazhdan--Lusztig polynomials of fan matroids
Explicit formulas and generating functions are obtained for inverse Kazhdan-Lusztig and inverse Z-polynomials of fan matroids, with coefficients proven log-concave and internally zero-free.