Some interpretations for algebraic invariants of edge ideals of hypergraphs via combinatorial invariants
Commutative Algebra
2025-06-10 v1
Abstract
The present work is concerned with characterizing some algebraic invariants of edge ideals of hypergraphs. To this aim, firstly, we introduce some kinds of combinatorial invariants similar to matching numbers for hypergraphs. Then we compare them to each other and to previously existing ones. These invariants are used for characterizing or bounding some algebraic invariants of edge ideals of hypergraphs such as graded Betti numbers, projective dimension and Castelnouvo-Mumford regularity.
Keywords
Cite
@article{arxiv.2001.09176,
title = {Some interpretations for algebraic invariants of edge ideals of hypergraphs via combinatorial invariants},
author = {Somayeh Moradi and Fahimeh Khosh-Ahang Ghasr},
journal= {arXiv preprint arXiv:2001.09176},
year = {2025}
}
Comments
To appear in Communications in Algebra