Algebraic properties of the binomial edge ideal of complete bipartite graph

zbMath1313.05363arXiv1301.0789MaRDI QIDQ2937306

Sohail Zafar, Peter Schenzel

Publication date: 8 January 2015

Full work available at URL: https://arxiv.org/abs/1301.0789

zbMATH Keywords

complete bipartite graphpure resolutionbinomial edge ideal

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Local cohomology and commutative rings (13D45) Combinatorial aspects of commutative algebra (05E40)

Related Items (19)

Regularity and \(h\)-polynomials of binomial edge ideals ⋮ Depth of powers of binomial edge ideals of complete bipartite graphs ⋮ On the depth of binomial edge ideals of graphs ⋮ Graph connectivity and binomial edge ideals ⋮ Local cohomology of binomial edge ideals and their generic initial ideals ⋮ Gorenstein binomial edge ideals ⋮ The Castelnuovo-Mumford regularity of binomial edge ideals ⋮ On the extremal Betti numbers of the binomial edge ideal of closed graphs ⋮ Regularity of powers of quadratic sequences with applications to binomial ideals ⋮ Binomial edge ideals of generalized block graphs ⋮ Lovász-Saks-Schrijver ideals and parity binomial edge ideals of graphs ⋮ Binomial edge ideals with pure resolutions ⋮ Almost complete intersection binomial edge ideals and their Rees algebras ⋮ Regularity bound of generalized binomial edge ideal of graphs ⋮ Binomial edge ideals of regularity 3 ⋮ Binomial edge ideals and bounds for their regularity ⋮ Hilbert series of binomial edge ideals ⋮ Regularity of parity binomial edge ideals ⋮ Binomial edge ideals of unicyclic graphs

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