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【学术报告】Seminars on Discrete Mathematics: Determining the vertex stabilizers of 4-valent half-arc-transitive graphs.
编辑:刘梦洁发布时间:2024年11月28日

报告人:张志硕(澳大利亚墨尔本大学

间:202412914:30

点:海韵园教学楼405

内容摘要:

We say that a group is a 4-HAT-stabilizer if it is the vertex stabilizer of some connected 4-valent half-arc-transitive graph. In 2001, Marušič and Nedela proved that every a 4-HAT-stabilizer must be a concentric group. However, over the past two decades, only a very small proportion of concentric groups have been shown to be 4-HAT-stabilizers. In this talk, we introduce a theory that provides a general framework for determining whether a concentric group is a 4-HAT-stabilizer. With this approach, we significantly extend the known list of 4-HAT-stabilizers.

人简介

张志硕,澳大利亚墨尔本大学博士生。本科毕业于北京航空航天大学华罗庚班。研究方向为代数图论,集中于四度半弧传递图点稳定子的刻画。曾在Forum Math. Sigma等期刊发表学术文章。


联系人:陈继勇