组合图集简介

IF 0.8 4区数学 Q2 MATHEMATICS

Expositiones Mathematicae Pub Date : 2022-12-01 DOI:10.1016/j.exmath.2022.08.003

Swee Hong Chan, Igor Pak

引用次数: 8

摘要

我们给出了最近由Anari等人(2018)、Brändén和Huh(2020)证明的强Mason猜想以及经典的Alexandrov-Fenchel不等式的初等自包含证明。这两种证明都使用了作者Chan和Pak(2021)最近引入的组合图谱技术。我们还给出了组合地图集与洛伦兹多项式之间的形式化关系。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Introduction to the combinatorial atlas

We give elementary self-contained proofs of the strong Mason conjecture recently proved by Anari et al. (2018) and Brändén and Huh (2020), and of the classical Alexandrov–Fenchel inequality. Both proofs use the combinatorial atlas technology recently introduced by the authors Chan and Pak (2021). We also give a formal relationship between combinatorial atlases and Lorentzian polynomials.

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来源期刊

Expositiones Mathematicae 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

40 days

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