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Academic Report of SMS 2023-31

Title:Some properties of Wenger graphs and linearized Wenger graphs.

Abstract:The Wenger graph $W_n(q)$ is an important graph family used to construct graphs on extremal problems about forbidden small even cycles. The linearized Wenger graphs $L_m(q)$ was proposed by Cao et al in 2015, and the research motivation is based on extensive research on Wenger graphs. This family of graphs has been extensively studied, we will review the existing results of Wenger graphs and linearized Wenger graphs. Subsequently, we introduce some problems related to Wenger graphs, such as constructing even cycles with specific length in Wenger graphs and linearized Wenger graphs. In this talk, I will discuss the resolution of these problems based on recent work with Chao Zhang.

Speaker:Fuyuan Yang, Moutai Institute. His research interests include algebra and graph theory. His results published on 《Bulletin of the Malaysian Mathematical Sciences Society》and 《Axioms》.

Date:6:30pm-9:30pm 2023-08-19(Saturday).

Tencent Meeting ID: 457 271 699

Organizer:School of Mathematical Science

Students and teachers who are interested in graph theory are welcome.


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