讲座主题：Distance spectral characterization of mixed extensions of small graphs

主讲人：张小玲

工作单位：烟台大学

活动时间：2019年6月1日（周一）下午15:00-15:30

讲座地点：腾讯会议ID：448374359

主办单位：烟台大学数学与信息科学学院

内容摘要：

A mixed extension of a graph G is a graph H obtained from G by replacing each vertex of G by a clique or a coclique, where vertices of H coming from different vertices of G are adjacent if and only if the original vertices are adjacent in G. In this paper, we determine all graphs with at most three distance eigenvalues unequal to -1 and -2, and find that these graphs are all mixed extensions of graphs on at most three vertices together with some particular mixed extensions of the path P_4. Moreover, we prove that some of these graphs are determined by their distance spectrum.

主讲人介绍：

张小玲，副教授，主要从事图论及其应用、图谱理论等方面的研究。目前以第一作者在《Linear Algebra and its Applications》、《Discrete Applied Mathematics》、《Discrete Mathematics》、《Linear and Multilinear Algebra》等国际期刊上发表 SCI 收录论文 13 篇。主持完成国家自然科学基金天元基金、青年项目各1项，主持完成山东省自然科学基金青年项目1项，参与国家自然科学基金面上基金2项，获得山东省高等学校优秀科研成果奖一等奖1项（第二位）。