講座主題：Distance spectral characterization of mixed extensions of small graphs
主講人：張小玲
工作單位：煙臺大學
活動時間：2019年6月1日（周一）下午15:00-15:30
講座地點：騰訊會議ID：448374359
主辦單位：煙臺大學數學與信息科學學院
內容摘要：
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.
主講人介紹：
張小玲，副教授，主要從事圖論及其應用、圖譜理論等方面的研究。目前以第一作者在《Linear Algebra and its Applications》、《DiscreteAppliedMathematics》、《Discrete Mathematics》、《Linear and Multilinear Algebra》等國際期刊上發表SCI收錄論文13篇。主持完成國家自然科學基金天元基金、青年項目各1項，主持完成山東省自然科學基金青年項目1項，參與國家自然科學基金面上基金2項，獲得山東省高等學校優秀科研成果獎一等獎1項（第二位）。
