SOME COHEN-MACAULAY AND UNMIXED BINOMIAL EDGE IDEALS

被引：30

作者：

Kiani, Dariush ^{[1
,2
]}

Madani, Sara Saeedi ^{[3
]}

机构：

[1] Amirkabir Univ Technol, Dept Pure Math, Fac Math & Comp Sci, Tehran Polytech, Tehran 15914, Iran

[2] Inst Res Fundamental Sci IPM, Sch Math, Tehran, Iran

[3] Univ Osnabruck, Inst Math, Osnabruck, Germany

来源：

COMMUNICATIONS IN ALGEBRA | 2015年 / 43卷 / 12期

关键词：

Binomial edge ideal; Cohen-Macaulay; Corona of graphs; Generalized block graph; Join of graphs; Unmixed;

D O I：

10.1080/00927872.2014.952734

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study unmixed and Cohen-Macaulay properties of the binomial edge ideal of some classes of graphs. We compute the depth of the binomial edge ideal of a generalized block graph. We also characterize all generalized block graphs whose binomial edge ideals are Cohen-Macaulay and unmixed. So that we generalize the results of Ene, Herzog, and Hibi on block graphs. Moreover, we study unmixedness and Cohen-Macaulayness of the binomial edge ideal of some graph products such as the join and corona of two graphs with respect to the original graphs.

引用

页码：5434 / 5453

页数：20

共 13 条

[1]

Bruns W., 1993, CohenMacaulay Rings, P39

[2]

Dirac G. A., 1961, Abhandlungen aus dem Mathematicschen Seminar der University Hamburg, V25, P71, DOI [10.1007/BF02992776, DOI 10.1007/BF02992776]

[3] THE BINOMIAL EDGE IDEAL OF A PAIR OF GRAPHS [J].