报告题目：On two-geodesic-transitive graphs

报 告 人：靳伟教授（湘潭大学）

报告时间：2025年6月25日（星期三）9: 00-10: 00

腾讯会议：566-886-317

主 持 人：乔守红

报告摘要：In this talk, we study (G,2)-geodesic-transitive graphs of odd order. We first give a reduction result on this family of graphs: let $N$ be an intransitive normal  subgroup of $G$. Suppose that such a graph $\Gamma$ is neither $(G,2)$-arc-transitive nor complete multipartite. Then we show that $\Gamma$ is a cover of $\Gamma_N$, $G/N$ is faithful and quasiprimitive on $V(\Gamma_N)$, $\Gamma_N$ is $(G/N,s')$ geodesic transitive of odd order and girth $3$ where $s'=\min\{2,\diam(\Gamma_N)\}$. We next investigate odd order $(G,2)$-geodesic-transitive graphs where $G$ acts quasiprimitively on the vertex set and determine all the possible quasiprimitive action types and give examples for them.

报告人简介：靳伟, 湘潭大学教授，博士生导师，省“杰青”，博士毕业于西澳大利亚大学，米纳斯联邦大学博士后。曾在澳大利亚昆士兰大学，拉筹伯大学和斯洛文尼亚Primorska大学访问学习。发表学术论文50多篇，其中多篇论文发表在了J. London Math. Soc., J. Combin. Theory Ser. A，J. Combin. Theory Ser. B，J. Graph Theory等著名期刊上。主持包括国家自然科学基金面上项目在内的多项国家级和省部级项目。