Regularity of binomial edge ideals of Cohen-Macaulay bipartite graphs. Issue 11 (2nd November 2019)

• Record Type: Journal Article
• Authors: Jayanthan, A. V.; Kumar, Arvind
• Is Part Of: Communications in algebra. Volume 47:Issue 11(2019)
• Page Start: 4797
• Page End: 4805
• Publication Date: 2019-11-02
• Subjects: Binomial edge ideals -- Castelnuovo-Mumford regularity -- Cohen-Macaulay bipartite graph; 13D02 -- 05E40; Algebra -- Periodicals; 512.005
• DOI: 10.1080/00927872.2019.1596278
• Languages: English
• ISSNs: 0092-7872

Abstract

Abstract: Let G be a finite simple graph on n vertices and JG denote the corresponding binomial edge ideal in S = K [ x 1, …, x n, y 1, …, y n ] . We compute the Castelnuovo-Mumford regularity of S / J G when JG is the binomial edge ideal of a Cohen-Macaulay bipartite graph. We achieve this by computing the regularity of certain bipartite subgraphs and some intermediate graphs, called k -fan graphs. In this process, we also obtain a class of graphs which satisfy the regularity conjecture of Saeedi Madani and Kiani.