Neighborly partitions, hypergraphs and Gordon's identities

IF 0.9 2区 数学 Q2 MATHEMATICS
Pooneh Afsharijoo , Hussein Mourtada
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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.
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。
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来源期刊
CiteScore
2.90
自引率
9.10%
发文量
94
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.
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