İstanbul Üniversitesi Matematik Bölümü Seminerleri
Regularity of Powers of Edge Ideals
Selvi Beyarslan
Tulane University, Amerika Birleşik Devletleri
Let $G$ be a graph and let $I = I(G)$ be its edge ideal. In this talk, we present
the asymptotic linear function reg $(I^s)$ as $s\gg 0$ when $G$ is a forest or a cycle
and the initial value of $s$ starting from which reg $(I^s)$ )attains its linear form.
We also introduce a lower bound on regularity of $I^s$ as $s \geq 1$ for any graph $G$.
