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06 Ağustos 2015, 17:00 
Mimar Sinan Güzel Sanatlar Üniversitesi Matematik Bölümü SeminerleriRegularity of Powers of Edge Ideals Selvi Beyarslan
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.
Çizge Kuramı ve Kombinatorik İngilizce Department of Mathematics seminar room admin 20.03.2020 |
