報(bào) 告 人:林震 副教授
報(bào)告題目:The $A_{\alpha}$-spread of a graph
報(bào)告時(shí)間:2023年9月18日(周一)下午15:30
報(bào)告地點(diǎn):靜遠(yuǎn)樓1508學(xué)術(shù)報(bào)告廳
主辦單位:數(shù)學(xué)與統(tǒng)計(jì)學(xué)院、數(shù)學(xué)研究院、科學(xué)技術(shù)研究院
報(bào)告人簡(jiǎn)介:
林震,副教授,碩士生導(dǎo)師,美國(guó)《Mathematical Reviews》評(píng)論員。主要從事代數(shù)圖論和化學(xué)圖論的研究,參加國(guó)家自然科學(xué)基金項(xiàng)目2項(xiàng),在《Linear Algebra Appl.》、《Electron. J. Linear Algebra》、《Bull. Malays. Math. Sci. Soc.》等期刊發(fā)表學(xué)術(shù)論文30余篇。
報(bào)告摘要:
Let $A(G)$ and $D(G)$ be the adjacency matrix and the degree diagonal matrix of a graph $G$, respectively. For any real number $\alpha \in[0,1]$, Nikiforov defined the $A_{\alpha}$-matrix of a graph $G$ as $A_{\alpha}(G)=\alpha D(G)+(1-\alpha)A(G)$. The $A_{\alpha}$-spread of a graph is the difference between the largest eigenvalue and the smallest eigenvalue of the $A_{\alpha}$-matrix of the graph. In this talk, we introduce the latest work of $A$-spread, $Q$-spread and $A_{\alpha}$-spread.