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Inclusion Ideals Associated to Uniformly Increasing Hypergraphs
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Inclusion Ideals Associated to Uniformly Increasing Hypergraphs

Sarfraz Ahmad, Imran Anwar, Azeem Haider and Amina Inam
arXiv.org, Vol.50(2), pp.199-206
Cornell University Library, arXiv.org
01/06/2013
DOI: https://doi.org/10.1556/SScMath.50.2013.2.1236

Abstract

Graph theory Upper bounds
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.

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