Research-Katona cycle methods and applications

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Katona cycle methods and applications

Speaker: Jimeng Xiao (SUSTech)
Time: Mar 6, 2025, 10:00-11:00
Location: Room M4009, College of Science Building

Abstract

Intersection problems are of great interest, and importance, in extremal combinatorics. The Erdos-Ko-Rado theorem is one of the most important results in intersection problems. In this talk, I will introduce Katona’s proof of Erdos-Ko-Rado theorem, which Erdos described as a ‘Book Proof’. Then I will show some further applications of Katona cycle methods in forbidden subposet problems. This is based on joint work of Casey Tompkins and Gyula Katona.