# Regularity of powers of edge ideals of product of graphs

Research paper by S. Selvaraja

Indexed on: 22 Dec '17Published on: 22 Jun '17Published in: Journal of Algebra and Its Applications

#### Abstract

Journal of Algebra and Its Applications, Ahead of Print. In this paper, we study the Castelnuovo–Mumford regularity of powers of edge ideals of product of graphs. We find new upper bounds for [math] for various classes of graphs [math] and [math], where [math] denotes the product of [math] and [math], and [math] denote the corresponding edge ideal. Using this result, we explicitly compute [math] for several classes of graphs [math] and [math]. In particular, we also explicitly compute the regularity of powers of wheel graphs.