弱连通集合的素性与弱闭路径多面体

IF 0.6 Q3 MATHEMATICS

Illinois Journal of Mathematics Pub Date : 2021-06-03 DOI:10.1215/00192082-10123611

Carmelo Cisto, F. Navarra, R. Utano

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引用次数: 4

摘要

本文研究了弱连通单元集合的原性，证明了由附在弱连通单元集合上的内2次子所生成的理想是弱弦二部图的边环的环理想。作为这一结果的一个应用，我们刻画了弱闭路径多项式理想的原态，这是一类新的非简单多项式。

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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Primality of weakly connected collections of cells and weakly closed path polyominoes

In this paper we study the primality of weakly connected collections of cells, showing that the ideal generated by inner 2-minors attached to a weakly connected and simple collection of cells is the toric ideal of the edge ring of a weakly chordal bipartite graph. As an application of this result we characterize the primality of the polyomino ideals of weakly closed paths, a new class of non simple polyominoes.

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来源期刊

Illinois Journal of Mathematics 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

期刊介绍： IJM strives to publish high quality research papers in all areas of mainstream mathematics that are of interest to a substantial number of its readers. IJM is published by Duke University Press on behalf of the Department of Mathematics at the University of Illinois at Urbana-Champaign.