CORDIS Project
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This project focuses on advancing the theory of partition calculus in various graph structures, exploring how local properties influence global characteristics. It aims to solve significant open problems in combinatorics, particularly those related to Ramsey theory and hypergraphs.
Our main goal is to develop the theory of partition calculus on graphs, digraphs and hypergraphs with emphasis on interactions between one-and multi-dimensional relations.
Such global characteristics crucially depend on local, often finitary structural properties.
This places our project at the meeting point of finite and infinite combinatorics with logic and set theory.
Some of the most important questions that motivate our investigations were first raised by P.
Erdős and A.
Hajnal in the 1960…
UNIVERSITY OF EAST ANGLIA
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