报告题目：The stabilizing index and cyclic index of the coalescence and Cartesian product of uniform hypergraphs
报 告 人：范益政
工作单位：安徽大学数学科学学院
报告时间：2021-11-23 19:30-21:30
腾讯会议ID：4170675239
报告摘要：
Let G be connected uniform hypergraph and let A(G) be the adjacency tensor of G. The stabilizing index of G is exactly the number of eigenvectors of A(G) associated with the spectral radius, and the cyclic index of G is exactly the number of eigenvalues of A(G) with modulus equal to the spectral radius. Let G1⊙G2 and G1□G2 be the coalescence and Cartesian product of connected m-uniform hypergraphs G1 and G2 respectively. In this paper, we give explicit formulas for the stabilizing indices and cyclic indices of G1⊙G2 and G1□G2 in terms of those of G1 and G2 or the invariant divisors of their incidence matrices over Zm, respectively.
报告人简介：
范益政，安徽大学教授，博士，博士生导师。教育部新世纪优秀人才，安徽省学术和技术带头人，中国数学会理事，安徽省数学会副理事长，安徽大学数学科学学院院长。主要研究方向为代数组合与代数图论，主持多项国家自然科学基金项目，教育部新世纪优秀人才项目、教育部博士点基金、教育部科学技术研究重点项目、安徽省优秀青年科技基金、安徽省自然科学基金等。曾两次荣获安徽省科学技术三等奖。在Trans. AMS, Proc. AMS, J. Combin. Theory A, J. Algebraic Combin. 等期刊发表论文100余篇。
