On the regularity of binomial edge ideals

被引：46

作者：

Ene, Viviana ^{[1
,3
]}

Zarojanu, Andrei ^{[2
,3
]}

机构：

[1] Ovidius Univ, Fac Math & Comp Sci, Constanta 900527, Romania

[2] Univ Bucharest, Fac Math & Comp Sci, Bucharest, Romania

[3] Romanian Acad, Res Grp Project ID PCE 2011 1023, Simion Stoilow Inst Math, Bucharest 014700, Romania

来源：

MATHEMATISCHE NACHRICHTEN | 2015年 / 288卷 / 01期

关键词：

Binomial edge ideals; regularity; GRAPHS;

D O I：

10.1002/mana.201300186

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the regularity of binomial edge ideals. For a closed graph G we show that the regularity of the binomial edge ideal J(G) coincides with the regularity of in(lex)(G) and can be expressed in terms of the combinatorial data of G. In addition, we give positive answers to Matsuda-Murai conjecture [8] for some classes of graphs. (C) 2014 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

引用

页码：19 / 24

页数：6

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