福州大学常安教授学术报告预告
题目:A homogeneous polynomial associated with general hypergraphs and its applications
摘要 : In 1965, Motzkin and Straus established a remarkable connection between
the order of a maximum clique and a homogeneous polynomial of a graph. In the last
decade, the tensor spectral theory of hypergraphs has been well developed due to its
theoretical significance and applications in many disciplines. A general hypergraph is a
pair H = (V, E) consisting of a vertex set V and an edge set E which is a collection
of subsets of V . The rank of H, denoted by rank(H), is the maximum cardinality of
the edges in E. In this talk, we first define a homogeneous polynomial for a general
hypergraph, and then give a Motzkin-Straus type result for {m, m −1} hypergraphs with
rank m. We also give some lower and upper bounds on the spectral radius in terms of
the clique number. This is the joint work with Yuan Hou and Lei Zhang.
报告人简介:
常安,福州大学教授,博士生导师。1998年6月毕业于四川大学应用数学专业,获博士学位。目前兼任福州大学离散数学研究中心副主任、中国数学会理事、中国数学会组合数学与图论专业委员会副主任(常务理事)、福建省数学会副理事长兼秘书长。
主要从事图论领域中图的谱理论及应用研究。已在国内外专业期刊发表研究论文60多篇,参加了包括国家重点研究计划(973计划)项目课题、国家自然科学基金重点项目在内的十余项国家级科研项目的研究工作,并承担了包括国家自然科学基金面上项目、天元基金专项和其他省级科研项目的研究工作。2004年获福建省科学技术二等奖。
报告时间:2018年11月28日(周三)下午15:00-16:00
报告地点:长清校区B434报告厅
欢迎各位老师和同学参加!