Mimar Sinan Fine Arts University Mathematics Department Seminars

Regularity of Powers of Edge Ideals
Selvi Beyarslan
Tulane University, United States of America
Özet : Let $G$ be a graph and let $I = I(G)$ be its edge ideal. In this research, when $G$ is a forest or a cycle, we explicitly compute the regularity of $I^s$ for all $s\geq1$. In particular, for this class of graphs, we provide the asymptotic linear function reg($I^s$) as $s\gg0$; and the initial value of s starting from which reg$I^s$ attains its linear form. We also give new bounds on the regularity of $I$ when $G$ contains a Hamiltonian path when $G$ is a Hamiltonian graph.
 Tarih : 06.08.2015 Saat : 17:00 Yer : Department of Mathematics seminar room Dil : English