On the half-plane property and the Tutte group of a matroid

DOI10.1016/j.jctb.2010.04.001zbMath1208.05010arXiv0906.1071OpenAlexW3105267598MaRDI QIDQ974475

Petter Brändén, Rafael S. González D'León

Publication date: 3 June 2010

Published in: Journal of Combinatorial Theory. Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.1071

zbMATH Keywords

matroidhalf-plane propertystable polynomialTutte group

Mathematics Subject Classification ID

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)

Related Items (6)

Random Walks in Polytopes and Negative Dependence ⋮ Configuration polynomials under contact equivalence ⋮ Complete monotonicity for inverse powers of some combinatorially defined polynomials ⋮ A new presentation for the inner Tutte group of a matroid ⋮ Non-representable hyperbolic matroids ⋮ Unnamed Item

Cites Work

• Unnamed Item
• A group-theoretic interpretation of Tutte's homotopy theory
• On combinatorial and projective geometry
• A criterion for the half-plane property
• Homogeneous multivariate polynomials with the half-plane property
• Geometric algebra for combinatorial geometries
• Polynomials with the half-plane property and matroid theory
• Rayleigh Matroids
• Negative Correlation in Graphs and Matroids

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