Syzygies, Betti Numbers, and Regularity of Cover Ideals of Certain Multipartite Graphs

Let G be a finite simple graph on n vertices. Let J G ？ K [ x 1 , … , x n ] be the cover ideal of G. In this article, we obtain syzygies, Betti numbers, and Castelnuovo–Mumford regularity of J G s for all s ≥ 1 for certain classes of graphs G. View Full-Tex