Description
Speaker: Dr. Rajiv Kumar, IIT Jammu
Date and Time: Thursday, 19th May, 2022, 11:30 - 12:30
Venue: Ramanujan Hall
Title: Powers of vertex cover ideals
Abstract: Let $S=k[x_1,..., x_n]$ be a polynomial ring, where $k$ is a
field, and $G$ be a simple graph on $n$ vertices. In 2011, Herzog, Hibi
and Ohsugi had conjectured that all powers of vertex cover ideals of a
chordal graph are componentwise linear. In the talk, we discuss the
conjecture for trees.