题目:Vertex-disjoint cycles in bipartite graphs with partial degree
主讲人:江素云
摘要:Let $G$ be a graph of order $n\geq 3$ and $W$ be a subset of $V(G)$ with $|W|\geq 3k$. Hong Wang conjectured that if $d(x)\geq 2n/3$ for each $x\in W$ then for any integer partition $|W|=n_1+\cdots +n_k$ with $n_i\geq 3$, $G$ contains $k$ vertex-disjoint cycles $C_1,\ldots, C_k$ such that $|V(C_i)\cap W|=n_i$ for all $1\leq i\leq k$. We investigated the bipartite version of this conjecture and gave a partial degree condition to guarantee the existence of $k$ vertex-disjoint cycles in bipartite graphs.
主讲人简介:江素云,江汉大学交叉学科研究院助理研究员
邀请人:王光辉 数学学院教授
时间:2019年4月24日10:00
地点:中心校区知新楼B座924报告厅