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学术预告-Distance spectral characterization of mixed extensions of small graphs

发布时间: 2020-05-29 17:02:34   作者:本站编辑   来源: 本站原创   浏览次数:

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:201961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)。


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