报 告 人:Jia Huang 博士(University of Nebraska at Kearney)
报告题目:Domination Ratio of Infinite Circulant Digraphs
报告时间:2017年12月27日(周三)下午16:00
报告地点:静远楼1508报告厅
报告人简介:
Dr. Jia Huang
Assistant Professor, Department of Mathematics and Statistics, University of Nebraska at Kearney, 2014-present
Postdoctoral Associate, School of Mathematics, University of Minnesota-Twin Cities, 2013-2014
Ph.D. in Mathematics, University of Minnesota-Twin Cities, 2013
Research interests include Discrete Mathematics and its connections with other fields
报告摘要:
An infinite circulant digraph is the Cayley graph of the additive group Z of all integers with respect to some finite subset S of Z. The minimum density of a dominating set in this graph is called its domination ratio. We establish some basic results on the domination ratio of this graph and precisely determine it when S consists of two integers s and t with t dividing s. This is joint work with James Carraher.