Syzygies, Betti numbers and regularity of cover ideals of certain multipartite graphs

Abstract

Let $G$ be a finite simple graph on $n$ vertices. Let $J_G\subset K[x_1,\dots ,x_n]$ be the cover ideal of $G$. In this article, we obtain syzygies, Betti numbers and Castelnuovo-Mumford regularity of $J_G^s$ for all $s\ge 1$ for certain classes of graphs $G$.

Title and other minor changes

References in corpus (3)

• Castelnuovo-Mumford regularity of products of ideals
• Betti Numbers of Graph Ideals
• Unmixed bipartite graphs