Inclusion Ideals Associated to Uniformly Increasing Hypergraphs
Commutative Algebra
2013-09-17 v4 Combinatorics
Abstract
In this paper,we introduce the monomial ideals I(H) associated to a special class of non uniform hypergraphs H(X; E; d) namely uniformly increasing hypergraphs. These ideals are named as inclusion ideals. In this paper, we discuss some algebraic properties of these inclusion ideals. In particular, we give an upper bound of the Castlenouvo-Mumford regularity of the special dual ideal I^[*](H) of the inclusion ideal.
Cite
@article{arxiv.1101.1781,
title = {Inclusion Ideals Associated to Uniformly Increasing Hypergraphs},
author = {Sarfraz Ahmad and Imran Anwar and Azeem Haider and Amina Inam},
journal= {arXiv preprint arXiv:1101.1781},
year = {2013}
}
Comments
6 pages, 1 figure