Codismantlability and projective dimension of the Stanley-Reisner ring of special hypergraphs
Commutative Algebra
2016-01-05 v3 Combinatorics
Abstract
In this paper firstly, we generalize the concept of codismantlable graphs to hypergraphs and show that some special vertex decomposable hypergraphs are codismantlable. Then we generalize the concept of bouquet in graphs to hypergraphs to extend some combinatorial invariants of graphs about disjointness of a set of bouquets. We use these invariants to characterize the projective dimension of Stanley-Reisner ring of special hypergraphs in some sense.
Keywords
Cite
@article{arxiv.1305.5954,
title = {Codismantlability and projective dimension of the Stanley-Reisner ring of special hypergraphs},
author = {Fahimeh Khosh-Ahang and Somayeh Moradi},
journal= {arXiv preprint arXiv:1305.5954},
year = {2016}
}
Comments
To appear in Proceedings Mathematical Sciences