半平面性质的一个判据
组合数学
2007-09-11 v1
摘要
我们建立了一个方便的多仿射实多项式稳定性的充要条件,并利用它验证了半平面性质对七个小型拟阵成立,而这些拟阵曾让 Choe、Oxley、Sokal 和 Wagner [5] 的努力受阻。
引用
@article{arxiv.0709.1269,
title = {A criterion for the half-plane property},
author = {David G. Wagner and Yehua Wei},
journal= {arXiv preprint arXiv:0709.1269},
year = {2007}
}
相关论文
查看更多相关论文 →
组合数学 · 数学
Polynomials with the half-plane property and matroid theory
Petter Brändén
2012-04-18
组合数学 · 数学
A real stable extension of the Vamos matroid polynomial
Sam Burton, Cynthia Vinzant, Yewon Youm
2014-11-11
组合数学 · 数学
Three results related to the half-plane property of matroids
Mario Kummer, David Sawall
2026-01-30
组合数学 · 数学
Homogeneous multivariate polynomials with the half-plane property
Young-Bin Choe, James G. Oxley, Alan D. Sokal, David G. Wagner
2007-05-23
组合数学 · 数学
On the half-plane property and the Tutte group of a matroid
Petter Brändén, Rafael S. González D'León
2012-04-18
组合数学 · 数学
Matroids on Eight Elements with the Half-plane Property and Related Concepts
Mario Kummer, Büşra Sert
2023-10-25
泛函分析 · 数学
An analytical Lieb-Sokal lemma
Mohan Ravichandran
2017-04-21
代数几何 · 数学
Slices of Stable Polynomials and Connections to the Grace-Walsh-Szeg\H{o} theorem
Sebastian Debus, Cordian Riener, Robin Schabert
2025-08-07
复变函数 · 数学
Total nonnegativity and stable polynomials
Kevin Purbhoo
2019-08-15
经典分析与常微分方程 · 数学
Multivariate Polya-Schur classification problems in the Weyl algebra
Julius Borcea, Petter Brändén
2012-04-18
动力系统 · 数学
A note on the Li\'{e}nard-Chipart criterion and roots of some families of polynomials
Renato B. Bortolatto
2014-07-29
组合数学 · 数学
Extended Linial Hyperplane Arrangements for Root Systems and a Conjecture of Postnikov and Stanley
Christos A. Athanasiadis
2016-09-07
代数几何 · 数学
A criterion for positive polynomials
Fernando Cukierman
2007-05-23
数论 · 数学
Stable Polynomials over Finite Fields
Domingo Gomez-Perez, Alejandro P. Nicolas, Alina Ostafe, Daniel Sadornil
2012-06-22
代数几何 · 数学
Conic stability of polynomials and positive maps
Papri Dey, Stephan Gardoll, Thorsten Theobald
2020-08-31
复变函数 · 数学
In search of Newton-type inequalities
Olga Katkova, Boris Shapiro, Anna Vishnyakova
2024-03-20
复变函数 · 数学
Conic stability of polynomials
Thorsten Jörgens, Thorsten Theobald
2018-05-07
组合数学 · 数学
Inequalities for Chow Polynomials and Chern Numbers of Matroids
Ronnie Cheng, Wangyang Lin
2026-04-30
组合数学 · 数学
On simplicial arrangements in $\mathbb{P}^3(\mathbb{R})$ with splitting polynomial
David Geis
2021-08-31
复变函数 · 数学
Multivariate stable polynomials: theory and applications
David G. Wagner
2009-11-19
动力系统 · 数学
Routh-Hurwitz criterion of stability and robust stability for fractional-order systems with order {\alpha}{\in}[1,2)
Jing Yang, Xiaorong Hou, Yajun Li
2022-02-22
经典分析与常微分方程 · 数学
Aspects of stable polynomials
Steve Fisk
2008-03-04
交换代数 · 数学
The Cohen-Macaulay Property of Affine Semigroup Rings in Dimension 2
Tony Se, Grant Serio
2016-02-19
数论 · 数学
Stability of binomials over finite fields
Mohamed Ayad, Boualem Benseba, Mohamed Madi
2022-12-21
复变函数 · 数学
Stability Of Matrix Polynomials In One And Several Variables
Oskar Jakub Szymański, Michał Wojtylak
2022-05-18