Standard graded vertex cover algebras, cycles and leaves
Commutative Algebra
2007-05-23 v1 Combinatorics
Abstract
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 defining 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.
Keywords
Cite
@article{arxiv.math/0606357,
title = {Standard graded vertex cover algebras, cycles and leaves},
author = {Juergen Herzog and Takayuki Hibi and Ngo Viet Trung and Xinxian Zheng},
journal= {arXiv preprint arXiv:math/0606357},
year = {2007}
}
Comments
20 pages, 6 figures