Discrete Concavity and Zeros of Polynomials

DOI10.1016/j.endm.2009.07.088zbMath1273.05021OpenAlexW2052392989MaRDI QIDQ2851512

Petter Brändén

Publication date: 10 October 2013

Published in: Electronic Notes in Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.endm.2009.07.088

zbMATH Keywords

hivematroidPuiseux seriesjump systemhalf-plane propertyTarski's principleHorn's conjecture\(M\)-convex

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Combinatorial aspects of matroids and geometric lattices (05B35)

Cites Work

• Homogeneous multivariate polynomials with the half-plane property
• Horn's problem, Vinnikov curves, and the hive cone
• Polynomials with the half-plane property and matroid theory
• Discrete Concavity and the Half-Plane Property
• Discrete Convex Analysis
• The Lax conjecture is true
• Eigenvalues, invariant factors, highest weights, and Schubert calculus
• M-Convex Functions on Jump Systems: A General Framework for Minsquare Graph Factor Problem

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