Some interpretations for algebraic invariants of edge ideals of hypergraphs via combinatorial invariants
From MaRDI portal
Publication:5112789
DOI10.1080/00927872.2020.1722823zbMath1452.13028arXiv2001.09176OpenAlexW3007725771MaRDI QIDQ5112789
Somayeh Moradi, Fahimeh Khosh-Ahang Ghasr
Publication date: 8 June 2020
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2001.09176
Applications of graph theory (05C90) Algebraic combinatorics (05E99) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Syzygies, resolutions, complexes and commutative rings (13D02)
Cites Work
- Unnamed Item
- Unnamed Item
- Progress in commutative algebra 1. Combinatorics and homology
- Minimal resolutions of some monomial ideals
- A new explicit finite free resolution of ideals generated by monomials in an R-sequence
- Cohen-Macaulay graphs
- Characteristic-independence of Betti numbers of graph ideals
- Monomial ideals, edge ideals of hypergraphs, and their graded Betti numbers
- Non-vanishingness of Betti Numbers of Edge Ideals
- Resolutions of Facet Ideals
- Matchings in hypergraphs and Castelnuovo--Mumford regularity
- Regularity and projective dimension of the edge ideal of $C_5$-free vertex decomposable graphs
- On Ideals Whose Radical Is a Monomial Ideal