Nonvanishing Betti numbers of edge ideals of weakly chordal graphs
DOI10.1007/s10801-023-01248-0zbMath1516.13013OpenAlexW4380484809MaRDI QIDQ6171761
Miguel A. Valencia-Bucio, José Martínez-Bernal, Oscar A. Pizá-Morales
Publication date: 18 July 2023
Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10801-023-01248-0
Stanley-Reisner ringEuler characteristicBetti numbersthreshold graphweakly chordal graphHochster's formula
Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Syzygies, resolutions, complexes and commutative rings (13D02) Combinatorial aspects of simplicial complexes (05E45) Combinatorial aspects of commutative algebra (05E40)
Cites Work
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- Matchings, coverings, and Castelnuovo-Mumford regularity
- Free resolutions of some edge ideals of simple graphs
- Progress in commutative algebra 1. Combinatorics and homology
- Linearity defect of edge ideals and Fröberg's theorem
- Algebraic properties of edge ideals via combinatorial topology
- An extended Euler-Poincaré theorem
- Domination numbers and homology
- Optimizing weakly triangulated graphs
- Threshold graphs and related topics
- Betti numbers and anti-lecture Hall compositions of random threshold graphs
- Characteristic-independence of Betti numbers of graph ideals
- Nonvanishing of Betti Numbers of Edge Ideals and Complete Bipartite Subgraphs
- Non-vanishingness of Betti Numbers of Edge Ideals
- THE PROJECTIVE DIMENSION OF THE EDGE IDEAL OF A VERY WELL-COVERED GRAPH
- Resolutions of Facet Ideals
- Sequentially Cohen-Macaulay edge ideals
- Monomial Ideals
- Cover Product and Betti Polynomial of Graphs
- Dependence of Betti Numbers on Characteristic
- The Two-Triangle Case of the Acquaintance Graph
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