Người báo cáo: Trần Nam Trung
Thời gian: 9h00, thứ 4 ngày 15/10/2014
Địa điểm: Phòng 6 nhà A14 - Viện Toán học, 18 Hoàng Quốc Việt Cầu Giấy, Hà Nội
Tóm tắt: Let $G$ be a graph and let $I = I(G)$ be its edge ideal. In this paper, when $G$ is a forest or a cycle, we explicitly compute the regularity of $I^s$ for all $s geqslant 1$. In particular, for this class of graphs, we provide the asymptotic linear function $reg(I^s)$ as $s gg 0$, 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 and when $G$ is a Hamiltonian graph. (This is a joint work with Salvi Bayarslam and Ha Huy Tai) |
