Level and pseudo-Gorenstein path polyominoes

IF 0.6 3区数学 Q3 MATHEMATICS

Journal of Algebraic Combinatorics Pub Date : 2024-09-02 DOI:10.1007/s10801-024-01354-7

Giancarlo Rinaldo, Francesco Romeo, Rajib Sarkar

引用次数: 0

Abstract

We classify path polyominoes which are level and pseudo-Gorenstein. Moreover, we compute all level and pseudo-Gorenstein simple thin polyominoes with rank less than or equal to 10. We also compute the regularity of the pseudo-Gorenstein simple thin polyominoes in relation to their rank.

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水平多面体和伪哥伦斯泰因路径多面体

我们将路径多面体分为等级多面体和伪哥伦斯泰因多面体。此外，我们还计算了所有秩小于或等于 10 的水平多面体和伪哥伦斯泰因简单薄多面体。我们还计算了伪哥伦施坦简单薄多面体与其秩相关的规则性。

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 Algebraic Combinatorics 数学-数学

CiteScore

1.50

自引率

12.50%

发文量

审稿时长

6-12 weeks

期刊介绍： The Journal of Algebraic Combinatorics provides a single forum for papers on algebraic combinatorics which, at present, are distributed throughout a number of journals. Within the last decade or so, algebraic combinatorics has evolved into a mature, established and identifiable area of mathematics. Research contributions in the field are increasingly seen to have substantial links with other areas of mathematics. The journal publishes papers in which combinatorics and algebra interact in a significant and interesting fashion. This interaction might occur through the study of combinatorial structures using algebraic methods, or the application of combinatorial methods to algebraic problems.