Cohen-Macaulay edge-weighted edge ideals of very well-covered graphs
DOI10.1080/00927872.2021.1917590zbMath1475.13040arXiv2003.12379OpenAlexW3127635988MaRDI QIDQ5860653
Siamak Yassemi, Kosuke Shibata, Naoki Terai, Seyed Amin Seyed Fakhari
Publication date: 22 November 2021
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2003.12379
Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Structural characterization of families of graphs (05C75) Syzygies, resolutions, complexes and commutative rings (13D02) Signed and weighted graphs (05C22) Combinatorial aspects of commutative algebra (05E40)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Vertex decomposability and regularity of very well-covered graphs
- Castelnuovo-Mumford regularity and initial ideals with no embedded prime ideals
- Very well covered graphs
- Monomial ideals of weighted oriented graphs
- Cohen-Macaulay, shellable and unmixed clutters with a perfect matching of König type
- Distributive lattices, bipartite graphs and Alexander duality
- Depth and regularity modulo a principal ideal
- A Note on Cohen–Macaulay Graphs
- THE PROJECTIVE DIMENSION OF THE EDGE IDEAL OF A VERY WELL-COVERED GRAPH
- Symbolic powers of cover ideal of very well-covered and bipartite graphs
- EDGE IDEALS OF WEIGHTED GRAPHS
- On the $h$-vectors of Cohen-Macaulay Flag Complexes
- Monomial Algebras
- Edge ideals of oriented graphs
- Cohen-Macaulay edge ideal whose height is half of the number of vertices
This page was built for publication: Cohen-Macaulay edge-weighted edge ideals of very well-covered graphs