A counterexample to the Ross–Yong conjecture for Grothendieck polynomials

IF 0.9 3区数学 Q1 MATHEMATICS

European Journal of Combinatorics Pub Date : 2025-09-17 DOI:10.1016/j.ejc.2025.104241

Colleen Robichaux

引用次数: 0

Abstract

We give a minimal counterexample for a conjecture of Ross and Yong (2015) which proposes a K-Kohnert rule for Grothendieck polynomials. We conjecture a revised version of this rule. We then prove both rules hold in the 321-avoiding case.

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Grothendieck多项式的Ross-Yong猜想的一个反例

我们给出了Ross和Yong（2015）猜想的最小反例，该猜想提出了格罗滕迪克多项式的K-Kohnert规则。我们推测这条规则的修订版本。然后，我们证明了这两个规则在321避免情况下都成立。

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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来源期刊

European Journal of Combinatorics 数学-数学

CiteScore

2.10

自引率

10.00%

发文量

124

审稿时长

4-8 weeks

期刊介绍： The European Journal of Combinatorics is a high standard, international, bimonthly journal of pure mathematics, specializing in theories arising from combinatorial problems. The journal is primarily open to papers dealing with mathematical structures within combinatorics and/or establishing direct links between combinatorics and other branches of mathematics and the theories of computing. The journal includes full-length research papers on important topics.