报告名称:On the spectrum and Zeta function of a graph
主办单位:英国立博官网中文版
报告专家:侯耀平
专家所在单位:湖南师范大学
报告时间:2020年6月10日9:45
报告地点:腾讯会议(会议ID:336 758 148)
专家简介:侯耀平,湖南师范大学教授,长期从事代数学和组合数学的教学与研究,主要研究领域为代数图论及其应用,已在国内外学术期刊上发表论文100多篇。已主持国家自然科学基金和湖南省自然科学基金项目多项,完成的科研成果2003年和2010年分别获得安徽省科技进步二等奖和湖南省人民政府自然科学奖二等奖。
报告摘要:In this talk, we present the Ihara zeta function of the cone over a semiregular bipartite graph and show that are cospectral if and only if they have the same Ihara zeta function. We also present the decomposition formulae for the zeta functions of families of graphs obtained through corona-type construction and construct some families of graphs with the same zeta function by the spectra of these graphs. We present relations between the invariants of a graph can be obtained from the partial derivatives at some point of a determinant in terms of its Bartholdi zeta function.
邀请人:刘慧清