Some Cohen–Macaulay and Unmixed Binomial Edge Ideals

DOI10.1080/00927872.2014.952734zbMath1335.13008arXiv1506.01362OpenAlexW2963789483MaRDI QIDQ3448586

Sara Saeedi Madani, Dariush Kiani

Publication date: 26 October 2015

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.01362

zbMATH Keywords

Cohen-Macaulayunmixedjoin of graphsbinomial edge idealCorona of graohsgeneralized block graph

Mathematics Subject Classification ID

Structure, classification theorems for modules and ideals in commutative rings (13C05) Combinatorial aspects of commutative algebra (05E40)

Related Items

Cohen-Macaulay binomial edge ideals and accessible graphs, Sequentially Cohen-Macaulay binomial edge ideals of closed graphs, Diameter and connectivity of finite simple graphs, Cohen-Macaulay binomial edge ideals of small graphs, Gorenstein binomial edge ideals, The Castelnuovo-Mumford regularity of binomial edge ideals, Regularity of powers of (parity) binomial edge ideals, \((S_2)\)-condition and Cohen-Macaulay binomial edge ideals, Cohen–Macaulay binomial edge ideals of cactus graphs, Binomial edge ideals of generalized block graphs, Binomial edge ideals of small depth, Binomial edge ideals of bipartite graphs, Binomial edge ideals of regularity 3, Regularity of binomial edge ideals of chordal graphs, Hilbert series of binomial edge ideals, Licci binomial edge ideals, Hankel edge ideals of trees and (semi-)Hamiltonian graphs, Binomial edge ideals of unicyclic graphs

Cites Work

• Binomial edge ideals with pure resolutions
• On rigid circuit graphs
• Binomial edge ideals and conditional independence statements
• On the binomial edge ideal of a pair of graphs
• Binomial Edge Ideals of Complete Multipartite Graphs
• Graphs and Ideals Generated by Some 2-Minors
• Cohen-Macaulay binomial edge ideals
• The binomial edge ideal of a pair of graphs