AN UPPER BOUND FOR THE REGULARITY OF POWERS OF EDGE IDEALS

被引：0
|
作者：
Moghimian, M. [1 ]
机构：
[1] Islamic Azad Univ, Sci & Res Branch, Dept Math, Tehran, Iran
来源：
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2017年 / 43卷 / 06期
关键词：
Edge ideal; Castelnuovo-Mumford regularity; matching number; CASTELNUOVO-MUMFORD REGULARITY; ASYMPTOTIC-BEHAVIOR; MONOMIAL IDEALS; BETTI NUMBERS; CYCLES;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A recent result due to Ha and Van Tuyl proved that the Castelnuovo-Mumford regularity of the quotient ring R/I(G) is at most matching number of G, denoted by match(G). In this paper, we provide a generalization of this result for powers of edge ideals. More precisely, we show that for every graph G and every s >= 1, reg(R/I(G)(s)) <= (2s - 1)vertical bar E(G)vertical bar(s-1) match (G).
引用
收藏
页码：1695 / 1698
页数：4
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