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(tái)大學(xué)
活動(dòng)時(shí)間：2019年6月1日（周一）下午15:00-15:30
講座地點(diǎn)：騰訊會(huì)議ID：448374359
主辦單位：煙臺(tái)大學(xué)數(shù)學(xué)與信息科學(xué)學(xué)院
內(nèi)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(yīng)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(guó)際期刊上發(fā)表SCI收錄論文13篇。主持完成國(guó)家自然科學(xué)基金天元基金、青年項(xiàng)目各1項(xiàng)，主持完成山東省自然科學(xué)基金青年項(xiàng)目1項(xiàng)，參與國(guó)家自然科學(xué)基金面上基金2項(xiàng)，獲得山東省高等學(xué)校優(yōu)秀科研成果獎(jiǎng)一等獎(jiǎng)1項(xiàng)（第二位）。
