| Biography | |
|---|---|
 Dr. Yilun Shang Department of Computer and Information Sciences, Northumbria University, UK |
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| Title: Sombor index and its applications in network science | |
| Abstract: The concept of Sombor index was recently introduced by Gutman in the chemical graph theory. It is a vertex-degree-based topological index and is pertinent to the sum of the square of degrees of each edge. In this talk, we present novel lower and upper bounds on the Sombor index of graphs by using some graph parameters. We discuss several relations on Sombor index with the first and second Zagreb indices of graphs. Sombor index can also be used as a network traffic efficiency metric and characterizes its Gromov geometric properties. We explore some rudimentary results in this direction. | |
| Biography: Yilun Shang is currently an Associate Professor (Reader) and the Program Leader for MSC in Artificial Intelligence at Northumbria University. He received his PhD degree in Mathematics from Shanghai Jiao Tong University in 2010. His main research interests include graph theory, network theory, probability, nonlinear system, and distributed algorithm. He is a recipient of the Dimitrie Pompeiu Prize in 2016 and the 2019, 2020 Outstanding Associate Editor Award of IEEE Access. He is an invited reviewer for Mathematical Reviews. | |
