Neighborly partitions, hypergraphs and Gordon's identities

IF 0.9 2区数学 Q2 MATHEMATICS

Journal of Combinatorial Theory Series A Pub Date : 2024-10-04 DOI:10.1016/j.jcta.2024.105963

引用次数: 0

Abstract

We prove a family of partition identities which is “dual” to the family of Andrews-Gordon's identities. These identities are inspired by a correspondence between a special type of partitions and “hypergraphs” and their proof uses combinatorial commutative algebra.

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邻接分区、超图和戈登等式

我们证明了与安德鲁斯-戈登（Andrews-Gordon）等价性系列 "对偶 "的分区等价性系列。这些等式的灵感来自于一种特殊类型的分区与 "超图 "之间的对应关系，它们的证明使用了组合交换代数。

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

Journal of Combinatorial Theory Series A 数学-数学

CiteScore

2.90

自引率

9.10%

发文量

审稿时长

12 months

期刊介绍： The Journal of Combinatorial Theory publishes original mathematical research concerned with theoretical and physical aspects of the study of finite and discrete structures in all branches of science. Series A is concerned primarily with structures, designs, and applications of combinatorics and is a valuable tool for mathematicians and computer scientists.