Vertex Decomposability of 2-CM and Gorenstein Simplicial Complexes of Codimension 3

被引：3

作者：

Ajdani, Seyed Mohammad ^{[1
]}

Jahan, Ali Soleyman ^{[2
]}

机构：

[1] Islamic Azad Univ, Dept Math, Sci & Res Branch, Tehran, Iran

[2] Univ Kurdistan, Dept Math, POB 66177-15175, Sanandaj, Iran

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2016年 / 39卷 / 02期

关键词：

Vertex decomposable; Simplicial complex; Monomial ideal; Weakly polymatroidal ideal; IDEALS; DECOMPOSITIONS;

D O I：

10.1007/s40840-015-0129-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let Delta be a simplicial complex on vertex set [n]. It is shown that if Delta is complete intersection, Cohen-Macaulay of codimension 2, Gorenstein of codimension 3, or 2-Cohen-Macaulay of codimension 3, then Delta is vertex decomposable. As a consequence, we show that if A is a simplicial complex such that I-Delta = I-t (C-n), where I-t(C-n) is the path ideal of length t of C-n, then Delta is vertex decomposable if and only if t = n, t = n 1, or n is odd and t = (n 1)/2.

引用

页码：609 / 617

页数：9