Koszul binomial edge ideals of pairs of graphs

被引：4

作者：

Baskoroputro, Herolistra ^{[1
]}

Ene, Viviana ^{[2
]}

Ion, Cristian ^{[3
]}

机构：

[1] GC Univ Lahore, Abdus Salam Sch Math Sci, 68-B New Muslim Town, Lahore 54600, Pakistan

[2] Ovidius Univ, Fac Math & Comp Sci, Bd Mamaia 124, Constanta 900527, Romania

[3] Univ Dunarea Jos Galati, Galati, Romania

来源：

JOURNAL OF ALGEBRA | 2018年 / 515卷

关键词：

Koszul algebra; Grobner basis; Binomial edge ideal; Linear quotients; INTERVAL-GRAPHS; ORDERS;

D O I：

10.1016/j.jalgebra.2018.08.029

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the Koszul property of a standard graded K-algebra R defined by the binomial edge ideal of a pair of graphs (G(1), G(2)). We show that the following statements are equivalent: (i) R is Koszul; (ii) the defining ideal JG(1), G(2), of R has a quadratic Grobner basis; (iii) the graded maximal ideal of R has linear quotients with respect to a suitable order of its generators. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：344 / 359

页数：16

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