A glimpse to most of the old and new results on very well-covered graphs from the viewpoint of commutative algebra
DOI10.1007/s40687-022-00326-2OpenAlexW4229003941MaRDI QIDQ2671741
Naoki Terai, M. R. Pournaki, Kyouko Kimura, Siamak Yassemi, Seyed Amin Seyed Fakhari
Publication date: 3 June 2022
Published in: Research in the Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40687-022-00326-2
regularityCohen-Macaulay ringprojective dimensionheight\(f\)-vector\(h\)-vectorsimplicial complexcompressiondepthsymbolic powerminimal free resolutionlocal cohomologyBetti numbershellabilityedge ideallinear resolutionwell-covered graphStanley-Reisner idealflag complexindependence complexcover idealvery well-covered graphCohen-Macaulay graphvertex-decomposability\(\mathrm{CM}_t\) propertyedge-weighted ideal
Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Structural characterization of families of graphs (05C75) Local cohomology and commutative rings (13D45) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69) Simplicial sets and complexes in algebraic topology (55U10) Research exposition (monographs, survey articles) pertaining to commutative algebra (13-02) Combinatorial aspects of commutative algebra (05E40)
Related Items (1)
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