CORDIS Project
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This project explores combinatorial geometry, specifically focusing on cover-decomposability and polychromatic colorings. It aims to investigate these concepts under various conditions, including random perturbations, to understand their theoretical and practical applications.
Combinatorial geometry is a very active field where most problems have real life applications.
The study of multiple coverings was initiated by Davenport and L.
Fejes Toth 50 years ago.
In 1986 J.
Pach published the first papers about decomposability of multiple coverings.
It was discovered recently that besides its theoretical interest, this area has important practical applications.
Now there is a great activity in this field with several breakthrough results.
The goal of this proposal is to s…
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