# 群与图讨论班 Seminars on Groups and Graphs

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# $$2$$-geodesic transitive graphs of order $$p^n$$ with $$n\leqslant 3$$

## 黄俊杰 Junjie Huang

Beijing Jiaotong University

Time: 16:00-18:00 (GMT+8), Monday September 26th, 2022
Location: Tencent Meeting

Abstract: A vertex triple $$(u,v,w)$$ of a graph is called a $$2$$-geodesic if $$v$$ is adjacent to both $$u$$ and $$w$$ and $$u$$ is not adjacent to $$w$$. An arc-transitive graph is said to be $$2$$-geodesic transitive if its automorphism group is transitive on the set of $$2$$-geodesics. In this talk we will introduce the classification of $$2$$-geodesic transitive graphs of order $$p^n$$ for each prime $$p$$ and $$n\leqslant 3$$.

Host: 谢贻林 Yilin Xie

Slides