06-12【赵 毅】五教5106 吴文俊重点实验室组合图论系列报告

发布者:卢珊珊发布时间:2023-06-07浏览次数:10


题目:Extremal results on multipartite graphs


报告人: Yi Zhao (Geogia State University)


时间:6月12号下午4:00-50


地点:5106


摘要:

Let K_r(t) denote the complete r-partite graph with t vertices in each part. Erdos and Simonovits (1971) characterized extremal graphs for K_r(t) when t\le 3. We obtain a multipartite version of this result by considering the maximum number of edges in a K_r(t)-free k-partite graph with n vertices in each part. We obtain an exact result whenever k=r, t\le 3, and n is sufficiently large, upper and lower bounds that differ O(n) in all cases. This is a joint work with Jie Han.