Chordal graphs, higher independence and vertex decomposable complexes
DOI10.1142/s0218196723500236zbMath1517.13014arXiv2106.10863OpenAlexW3176795680MaRDI QIDQ6159132
Fred M. Abdelmalek, Anurag Singh, Shuchita Goyal, Priyavrat Deshpande, Amit Roy
Publication date: 1 June 2023
Published in: International Journal of Algebra and Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2106.10863
hypergraphschordal graphsStanley-Reisner idealshellable complexesvertex decomposable complexeshigher independence complexes
Hypergraphs (05C65) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Combinatorial aspects of simplicial complexes (05E45)
Cites Work
- Unnamed Item
- Chordal and sequentially Cohen-Macaulay clutters
- A local criterion for Tverberg graphs
- Extremal problems for transversals in graphs with bounded degree
- Algebraic properties of edge ideals via combinatorial topology
- Obstructions to shellability
- Domination numbers and homology
- Weighted sheaves and homology of Artin groups
- Distance \(r\)-domination number and \(r\)-independence complexes of graphs
- Independent systems of representatives in weighted graphs
- Proof of the Lovász conjecture
- Cohen--Macaulay chordal graphs
- On Vertex Decomposable Simplicial Complexes and Their Alexander Duals
- Vertex decomposable graphs and obstructions to shellability
- Sequentially Cohen-Macaulay edge ideals
- Higher Independence Complexes of graphs and their homotopy types
- Monomial Algebras
This page was built for publication: Chordal graphs, higher independence and vertex decomposable complexes