The ultra log-concavity of Z -polynomials and γ -polynomials of uniform matroids
DOI10.1080/10236198.2024.2351915zbMath1547.05047MaRDI QIDQ6609874
Matthew H. Y. Xie, Philip B. Zhang, Siyi Wu
Publication date: 24 September 2024
Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)
Exact enumeration problems, generating functions (05A15) Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.) (52B40) Combinatorial aspects of matroids and geometric lattices (05B35) Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.) (33F10)
Cites Work
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- How to use cylindrical algebraic decomposition
- The \(Z\)-polynomial of a matroid
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- The Kazhdan-Lusztig polynomials of uniform matroids
- Equivariant Kazhdan-Lusztig polynomials of \(q\)-niform matroids
- The Kazhdan-Lusztig polynomial of a matroid
- The log-concavity of Kazhdan-Lusztig polynomials of uniform matroids
- A Computer Proof of Moll’s Log-Concavity Conjecture
- Intersection cohomology of the symmetric reciprocal plane
- Stressed Hyperplanes and Kazhdan–Lusztig Gamma-Positivity for Matroids
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