报告题目一：Some progress on the minimum spectral radius of a graph

报 告 人：黄琼湘 教授 

报告时间：2024年11月6日 14:30-15:30

报告地点：格物楼数学研究中心528报告厅

报告摘要：In this talk, we will present some new progress of the minimizer graph in G(n,d). Moreover, we also discuss the minimizer graph in where G(n,d) is the family of connected graphs with order n and dominating number d .

报告人简介：黄琼湘，新疆大学教授、博士生导师，主要研究领域为图论、代数图论、图谱理论。在J. Combin. Theory Ser. B、Europ. J. Combin.、J. Algebraic Combin.、Electronic. J. Combin.、Discrete Math.、Discrete Appl. Math.、Linear Algebra Appl. 等图与组合领域的期刊上发表论文150余篇；主持完成国家自然科学基金项目多项，作为子课题负责人承担国家自然科学基金重点项目1项；荣获新疆维吾尔自治区科技进步奖等。

报告题目二：Removable edges in bricks

报 告 人：王艳 教授

报告摘要：A connected nontrivial graph G is matching covered}, if every edge of G is contained in a perfect matching of G. An edge e of a matching covered graph G is removable if G-e is still matching covered. Lovasz and Plummer introduced removable edges in connection with ear decompositions of matching covered graphs. A matching covered graph G is a brick if and only if G is 3‐connected and for any two distinct vertices u and v of G, G−u−v has a perfect matching. The existence of removable edges, especially of special types, plays an important role in the generation of some bricks. In this talk, we introduce the related background and our results on removable edges in bricks.

报告人简介：王艳，博士，教授，硕士生导师，福建省女科技工作者协会闽南师范大学分会会长，福建省运筹学会理事，闽南师范大学教师工作部（人事处）副部（处）长。目前，受教育部师范协同提质计划选派至怀化学院教务处挂职。主要从事图论及其应用的研究工作，在《Science China Mathematics》，《Advances in Mathematics (China)》，《Linear Algebra and its Application》，《the Electronic Journal of Combinatorics》，《Discrete Applied Mathematics》等国内外主要期刊发表论文二十余篇。主持、合作研究、参与科研项目11项（国家级3项，省级8项）和教改项目8项（省级3项，校级5项）。曾获第十四届福建省自然科学优秀学术论文三等奖；是福建省一流本科课程《概率论》的课程负责人，曾获“第二届全国高校数学微课程教学设计竞赛”华东赛区二等奖、“第三届福建省高校青年教师教学竞赛”自然科学基础组三等奖。

报告题目三：Splitting fields and algebraic degrees of Cayley graphs

报 告 人：鲁卢 副教授

报告摘要：In this talk, we introduce the concept of splitting fields and algebraic degrees of graphs. Firstly, we completely determine the splitting fields of undirected  Cayley graphs over abelian groups. Next, we give a characterization of the splitting fields of undirected  Cayley graphs over dihedral groups. At last, we completely determine the splitting fields of mixed graphs over abelian groups.

报告人简介：鲁卢，中南大学数学与统计学院教授、博士生导师，2019年博士毕业.主要从事图论，特别是代数图论方面的研究。目前已发表学术论文30余篇，承担国家自然科学基金项目青年项目和面上项目各一项，湖南省自然科学基金一项。