A. V. Jayanthan, Neeraj Kumar
Abstract
Let $G$ be a finite simple graph on $n$ vertices. Let $J_G \subset K[x_1, \ldots, x_n]$ be the cover ideal of $G$. In this article, we obtain the graded minimal free resolution and the Castelnuovo-Mumford regularity of $J_G^s$ for all $s \geq 1$ for certain multipartite graphs $G$.
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Let $G$ be a finite simple graph on $n$ vertices. Let $J_G \subset K[x_1, \ldots, x_n]$ be the cover ideal of $G$. In this article, we obtain the graded minimal free resolution and the Castelnuovo-Mumford regularity of $J_G^s$ for all $s \geq 1$ for certain multipartite graphs $G$.
Key concepts: Multipartite, Cover (algebra), Combinatorics, Mathematics, Resolution (logic), Graph, Ideal (ethics), Simple graph