Ramsey-Turán Results

Document Type

Presentation Abstract

Presentation Date

4-1-2024

Abstract

The celebrated Turán's Theorem sits at the heart of extremal combinatorics, yielding the maximum number of edges in a graph free of cliques of some proscribed size. Graphs achieving this maximum are highly structured, with large sets of vertices free from edges. The Ramsey-Turán problem reformulates this problem by asking for the maximum to the Turán problem of a less structured graph. We explore the history and more recent results in this area.

Additional Details

Link to the presenter's dissertation.

April 1, 2024 at 3:00 p.m. Math 103

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