Algebraic implications of neighborhood hypergraphs and their transversal hypergraphs
Commutative Algebra
2022-08-31 v1
Abstract
In this paper, we unfold balanced and totally balanced neighborhood hypergraphs to discover new classes of normally torsion-free monomial ideals. As a consequence, we establish that the closed neighborhood ideals and the dominating ideals of strongly chordal graphs are normally torsion-free. We discuss the stable sets of associated primes of the dominating ideals of cycles and characterize all the cycles with normally torsion-free dominating ideals.
Cite
@article{arxiv.2208.14040,
title = {Algebraic implications of neighborhood hypergraphs and their transversal hypergraphs},
author = {Mehrdad Nasernejad and Ayesha Asloob Qureshi},
journal= {arXiv preprint arXiv:2208.14040},
year = {2022}
}
Comments
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