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时间:2019-11-04浏览:22设置

报 告 人: 冯荣权 教授

报告题目:Directed Strongly Regular Dihedrants 

报告时间:2019年11月6日(周三)下午3:00

报告地点:静远楼204学术报告厅

主办单位:数学与统计学院、科学技术研究院

报告人简介:

sb沙巴体育官方投注 www.xyfenlei.com   冯荣权,北京大学数学科学学院教授、博士生导师,国务院学位委员会数学学科评议组秘书、教育部大学数学课程教学指导委员会委员。现为中国数学会理事、中国组合数学与图论学会理事、中国密码学会理事。任《数学的实践与认识》副主编、《密码学报》、《数学进展》、《大学数学》和《数学通报》编委。主要研究方向为密码学与信息安全及代数组合论,曾先后主持或参加多项国家自然科学基金、国家863计划、国家973计划、教育部留学回国人员基金项目,在认证理论、椭圆曲线密码、图论与网络结构等密码学和代数组合论等方面取得若干重要成果,在国内外核心期刊或会议上发表论文百余篇。

报告摘要:

  An (n,k, t, λ, µ)-directed strongly regular graph is a directed graph with n vertices satisfying (i) each vertex has k out-neighbors and k in-neighbors, including tneighbors counted as both in[1]and out-neighbors of the vertex; and (ii) the number of paths of length two from a vertex x to another vertex y is λ if there is a directed edge from x to y, and is µ otherwise. Such graphs were introduced by Duval in 1988 as one of the possible generalization of classical strongly regular graphs to the directed case. Cayley graphs on dihedral groups are called dihedrants. In this talk, a class of directed strongly regular dihedrants will be characterized.


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