讲座主题：Weakly symmetric hexavalent graphs of order 9p

主讲人：郭松涛

工作单位：河南科技大学

讲座时间：2019.6.24上午10:00-11:00

讲座地点：数学院大会议室341

主办单位：烟台大学数学与信息科学学院

内容摘要：

A graph is called weakly symmetric if its full automorphism group is transitive on both its vertices and edges. In this talk, we classify hexavalent weakly symmetric graphs of order 9p for each odd prime p. Since 9p is an odd number, such graphs are arc-transitive or half-arc-transitive. For arc-transitive case, we show that there are eight sporadic graphs and six infinite families, and all are 1-transitive. For half-arc-transitive case, we show that there are four infinite families, and all are metacirculants.

主讲人介绍：

郭松涛，副教授。2009年广西大学硕士毕业，2012年北京交通大学博士毕业，现就职于河南科技大学数学与统计学院，从事代数图论、组合网络等方面的研究。主持国家自然科学青年基金1项，被评为河南科技大学青年学术带头人。在J. Combin.Theory B, J. Algebraic Combin., Electronic J. Combin., Discrete Math., Algebra Colloquium, Acta Math. Appl.(Sinica English Series)等国内外著名期刊上发表论文28篇，被SCI检索论文16篇。