报告题目：Automorphism, Isomorphism and Kirchhoff Index of  Enhanced Hypercubes

报告时间：2018年10月29日（周一）下午3:30-5:30

报告地点：数学楼407

报告人：黄琼湘教授，新疆大学数学与系统科学学院

报告摘要：

In this talk, we report our recent research works. We first introduce the notion of Enhanced Hypercubes, which is a type of Cayley graph on abelian group $Z_2^n$. Next we give the full automorphism group of Enhanced Hypercubes and then determine the isomorphic classes of all $n-1$-regular Cayley graphs on abelian group $Z_2^n$. At last, we give a formula for Kirchhoff Index of Enhanced Hypercubes and prove that such Kirchhoff Index has monotonicity, from which we obtain its limit function.

报告人简介：

黄琼湘，新疆大学数学与系统科学学院教授，博士生导师，研究领域为图论、代数图论、图谱理论。黄琼湘教授先后主持国家自然科学基金项目4项，参加国家自然科学基金重点项目一项。 在国际国内主流学术期刊Journal of Combinatorial Theory Series B， Journal of Combinatorial Algebra，Discrete Mathematics， Linear Algebra and its Applications，Discrete Applied Mathematics，Acta Math. 等杂志上发表论文100余篇。2017年获新疆维吾尔自治区科技进步奖二等奖。