Mimar Sinan Güzel Sanatlar 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 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.
