Seminar Details
Planar Turà n Number: Plane Graph Decomposition and Contribution Method
- Start Date: November 2, 2022
- Event Start Time: 12:15 PM
- Event End Time: 1:15 PM
- Seminar Series: Graduate Combinatorics Seminar
- Presenter(s): Zeyu Zheng - Rutgers University
- Event Location: Mathematics Graduate Student Lounge -- 7th Floor | Rutgers University | Hill Center | Mathematics Department
- Presentation Type: Stand Alone Presentation
- Abstract:
One of the most famous results in extremal graph theory is Turàn's theorem, which leads to a series of remarkable results which we now consider Turàn-type problems. The study of the planar Turàn Number ex_P(n,H), initiated by Chris Dowden in 2016, is a variant of a Turàn-type problems in planar graphs. In this talk, we discuss a useful tool in this field, and several sharp bounds we found using a similar technique. This talk is based on a joint work with Professor Ervin Györi and Xianzhi Wang.
