Standard graded vertex cover algebras, cycles and leaves

被引：36
作者：
Herzog, Juergen [1 ]
Hibi, Takayuki [2 ]
Ngo Viet Trung [3 ]
Zheng, Xinxian [1 ]
机构：
[1] Univ Duisburg Essen, Fachbereich Math & Informat, D-45117 Essen, Germany
[2] Osaka Univ, Grad Sch Informat Sci & Technol, Dept Pure & Appl Math, Osaka 5600043, Japan
[3] Inst Math, Hanoi 10307, Vietnam
来源：
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2008年 / 360卷 / 12期
关键词：
D O I：
10.1090/S0002-9947-08-04461-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The aim of this paper is to characterize simplicial complexes which have standard graded vertex cover algebras. This property has several nice consequences for the squarefree monomial ideals de. ning these algebras. It turns out that such simplicial complexes are closely related to a range of hypergraphs which generalize bipartite graphs and trees. These relationships allow us to obtain very general results on standard graded vertex cover algebras which cover previous major results on Rees algebras of squarefree monomial ideals.
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页码：6231 / 6249
页数：19
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