题目： Weak metacirculants of prime power order

报告人： 周进鑫教授  北京交通大学  

Abstract : Metacirculants are a basic and well-studied family of vertex-transitive graphs, and weak metacirculants are generalizations of them. A graph is called a weak metacirculant if it has a vertex-transitive metacyclic automorphism group. In this talk, we shall introduce our recent work on metacirculants and weak metacirculant of prime power order. We first prove that a weak metacirculant of prime power order is a metacirculant if and only if it has a vertex-transitive split metacyclic automorphism group. We also give some constructions of weak metacirculants of order prime power order which are Cayley graphs but not Cayley graphs of any metacyclic group; this answers an open question in [C. H. Li, S. J. Song and D. J. Wang, A characterization of metacirculants, J. Combin. Theory Ser. A 120 (2013) 39--48]

时间：11月30日（周五）上午9:00

地点：565net必赢客户端本部教二楼627 教室

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