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Distance spectral characterization of mixed extensions of small graphs
作者:     供图:     日期:2020-05-29     来源:    

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

主讲人:张小玲

工作单位:99精品视频在线观看

活动时间:2019年6月1日(周一)下午15:00-15:30

讲座地点:腾讯会议滨顿:448374359

主办单位:99精品视频在线观看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 ofG by a clique or a coclique, where vertices of H coming from different vertices of G areadjacent if and only if the original vertices are adjacent in G. In this paper,we determine all graphs with at mostthree distance eigenvalues unequal to -1 and -2, and find that these graphs areall mixed extensions of graphs on at most three vertices together with some particularmixed 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》、《DiscreteAppliedMathematics》、《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)。