Regularity and h-polynomials of edge ideals

被引：0

作者：

Hibi, Takayuki ^{[1
]}

Matsuda, Kazunori ^{[2
]}

Van Tuyl, Adam ^{[3
]}

机构：

[1] Osaka Univ, Grad Sch Informat Sci & Technol, Dept Pure & Appl Math, Suita, Osaka 5650871, Japan

[2] Kitami Inst Technol, Kitami, Hokkaido 0908507, Japan

[3] McMaster Univ, Dept Math & Stat, Hamilton, ON L8S 4L8, Canada

来源：

ELECTRONIC JOURNAL OF COMBINATORICS | 2019年 / 26卷 / 01期

基金：

加拿大自然科学与工程研究理事会;

关键词：

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For any two integers d, r >= 1, we show that there exists an edge ideal I (G) such that reg (R/I(G)), the Castelnuovo-Mumford regularity of R/I(G), is r, and deg h(R)(/I)((G))(t), the degree of the h-polynomial of R/I(G), is d. Additionally, if G is a graph on n vertices, we show that reg (R/I(G)) + deg h(R)(/I)((G)) (t) <= n.

引用

页数：11

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