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Kylin Lectures In Graph Theory
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Speaker(s):
Time: Dec. 5 2021 9:30-12:00
Venue:

Extremal graphs and a conjecture of Erdos-Simonovits 

Jie Ma
(University of Science and Technology of China)

Abstract: In extremal graph theory one is interested in the realtions between various graph invariants. Given a property P and an invariant u for a family F of graphs, we wish to determine the maximum value of u(G) among all graphs G in F satisfying the property P. The optimial value u(G) is called the extremal number and the graphs attaining this value are called extremal graphs. A principal example of such an extremal problem is the so-called Turan type problem, initiated by Hungarian mathematicians Turan and Erdos in 1940s. In this talk, we will discuss some recent results on extremal graphs and a related conjecture of Erdos-Simonovits.

Clique factors of graphs with low independence number

Ping Hu
(Sun Yat-sen University)

 

A better bound on the size of rainbow matchings

Hongliang Lu

(Xi'an Jiaotong University)