Barile-Macchia resolutions
From MaRDI portal
Publication:6152229
DOI10.1007/s10801-023-01293-9arXiv2211.04640OpenAlexW4391529949MaRDI QIDQ6152229
Publication date: 11 March 2024
Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2211.04640
Betti numbersmonomial idealsdiscrete Morse theoryminimal free resolutionscellular resolutionssimplicial resolutions
Graph theory (05Cxx) Homological methods in commutative ring theory (13Dxx) Arithmetic rings and other special commutative rings (13Fxx)
Cites Work
- Unnamed Item
- Unnamed Item
- Free resolutions of some edge ideals of simple graphs
- The Eliahou-Kervaire resolution is cellular
- The Buchberger resolution
- Minimal resolutions of some monomial ideals
- On Borel fixed ideals generated in one degree
- Specializations of Ferrers ideals
- A new explicit finite free resolution of ideals generated by monomials in an R-sequence
- Squarefree lexsegment ideals
- Morse theory for cell complexes
- Generic and cogeneric monomial ideals
- Taylor and minimal resolutions of homogeneous polynomial ideals
- Cohen-Macaulay graphs
- Syzygies of oriented matroids
- Lyubeznik's resolution and rooted complexes
- On discrete Morse functions and combinatorial decompositions
- Betti numbers of weighted oriented graphs
- Algebraic invariants of weighted oriented graphs
- Morse resolutions of powers of square-free monomial ideals of projective dimension one
- Minimal cellular resolutions of the edge ideals of forests
- Regularity of edge ideals and their powers
- Monomial ideals of weighted oriented graphs
- Pruned cellular free resolutions of monomial ideals
- Linear resolutions of quadratic monomial ideals
- Minimal free resolutions that are not supported by a CW-complex
- Powers of monomial ideals with characteristic-dependent Betti numbers
- Discrete Morse theory for cellular resolutions
- Three simplicial resolutions
- Splittings of monomial ideals
- Monomial and toric ideals associated to Ferrers graphs
- Computation of economic equilibria by a sequence of linear complementarity problems
- Cellular resolutions of monomial modules
- Symbolic Powers of Monomial Ideals and Cohen-Macaulay Vertex-Weighted Digraphs
- Edge ideals of oriented graphs
- Cellular Structure on the Minimal Resolution of the Edge Ideal of the Complement of then-Cycle
- Cellular resolutions of monomial ideals and their Artinian reductions
