Speaker: Associate Professor Lin Zhen
Topic: The $A_{\alpha}$-spread of a graph
Date: September 18, 2023
Time: 3:30 p.m.
Venue: Academic Lecture Hall 1508, Building 9
Sponsors: School of Mathematics and Statistics, Research Institute of Mathematical Science, Institute of Science and Technology
Biography:
Lin Zhen is an associate professor, master’s supervisor and the commentator of Mathematical Reviews. He mainly engaged in researches in algebraic graph theory and chemical graph theory. He has participated in two National Natural Science Foundation Projects and published over 30 academic papers in journals such as Linear Algebra Appl., Electron. J. Linear Algebra, and Bull. Malays. Math. Sci. Soc.
Abstract：
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.