题目：Multicolor Gallai-Ramsey Numbers of Cycles and Paths

报告人：Zi-Xia Song （University of Central Florida）

地点：致远楼103室

时间：2018年7月4日（周三）下午4:00--5:00

摘要：Ramsey theory dates back to the 1930's and computing Ramsey numbers is a notoriously difficult problem in combinatorics. We study Ramsey numbers of graphs in Gallai colorings, where a Gallai coloring is a coloring of the edges of a complete graph such that no triangle has all its edges colored differently. Given an integer $k/ge1$ and ``forbidden" graphs $H_1, /ldots, H_k$, the Gallai-Ramsey number $GR(H_1, /ldots, H_k)$ is the least integer $n$ such that every Gallai coloring of the complete graph $K_n$ using $k$ colors contains a monochromatic copy of $H_i$ in color $i$ for some $i /in /{1, /ldots, k/}$. Gallai-Ramsey numbers are more well-behaved, though computing them is far from trivial.

In this talk, I will present our recent results on Gallai-Ramsey numbers of cycles and paths.

欢迎各位参加！