CORDIS Project
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This project investigates extremal problems in graph theory, focusing on configurations that exclude certain sub-structures. It aims to advance understanding of Turan-type problems and rainbow structures in graphs and hypergraphs, contributing to theoretical mathematics.
In this project, we propose to study several Turan-type extremal problems for graphs and hypergraphs as well as related extremal problems on rainbow structures.
In Turan-type extremal problems, roughly speaking, we want to determine how dense a configuration (graph, hypergraph, set system, etc.) can be when certain sub-configurations are forbidden.
One of the earliest results in the area is Mantel's Theorem from 1908, which says that the largest triangle-free graph on given number of vertices…
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The University of Illinois at Chicago
United States, 244, Chicago, Il 60608,
Type: Company (for-profit)
Activity type: Private for-profit entities (excluding Higher or Secondary Education Establishments)
SME: No
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