Syzygies on Tutte polynomials of freedom matroids

DOI10.1007/s00026-017-0370-0zbMath1390.05041arXiv1509.02117OpenAlexW2963889370MaRDI QIDQ1682617

Joseph P. S. Kung

Publication date: 30 November 2017

Published in: Annals of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.02117

zbMATH Keywords

Tutte polynomial\({\mathcal{G}}\)-invariantfreedom or nested matroids

Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.) (52B40) Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Combinatorial aspects of matroids and geometric lattices (05B35) Semimodular lattices, geometric lattices (06C10) Elementary problems in Euclidean geometries (51M04) Extremal combinatorics (05D99)

Cites Work

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• Symmetric and quasi-symmetric functions associated to polymatroids
• Valuative invariants for polymatroids
• A free subalgebra of the algebra of matroids
• The Tutte Polynomial Part I: General Theory
• Single-element extensions of matroids
• A Decomposition for Combinatorial Geometries
• [https://portal.mardi4nfdi.de/wiki/Publication:5731810 On the foundations of combinatorial theory I. Theory of M�bius Functions]

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