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Extremal graph theory

Closes:

55

Applications accepted all year round

Competition Funded PhD Project (UK Students Only)

About the Project

Extremal graph theory is one of the most active and dynamic branches of combinatorics. The fundamental goal of the area is to understand what conditions force a graph to contain some substructure. For example, Mantel’s theorem – proved more than a century ago – determines how many edges a graph on n vertices needs to guarantee it contains a triangle. In recent years, a number of powerful methods have been developed allowing researchers to answer long-standing questions in extremal graph theory.…

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