讲座内容：

A Gallai coloring of a complete graph is an edge-coloring such that no triangle has all its edges colored differently. A Gallai k-coloring is a Gallai coloring that uses k colors. Given a graph H and an integer k≥1, the Gallai-Ramsey number GRk(H) of H is the least positive integer N such that every Gallai k-coloring of the complete graph KN contains a monochromatic copy of H. In this report, we will talk about some new results and problems on the Gallai-Ramsey numbers for cycles, complete graphs and complete bipartite graphs.