# 群与图讨论班 Seminars on Groups and Graphs

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# On the order of vertex-primitive $$2$$-arc-transitive digraph besides directed cycles

## 尹富纲 Fugang Yin

Beijing Jiaotong University

Time: 16:00-18:00 (GMT+8), Tuesday April 12th, 2022
Location: Tencent Meeting

Abstract: Giudici, Li and Xia (J. Combin. Theory Ser. B 127 (2017), 1-13.) constructed the first known family of vertex-primitive $$2$$-arc-transitive digraphs besides directed cycles. Digraphs in their construction are of order at least $$30758154560$$. A question is that whether exists examples with smaller order. In this talk, I will introduce our work on this question. It is a join work with Yan-Quan Feng (my advisor) and Binzhou Xia.

Host: 黄弘毅 Hong Yi Huang

Slides