CORDIS Project
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This project investigates the connections between combinatorial maps and various problems in topology, physics, and data compression. It aims to develop new algorithms that improve the understanding and encoding of 2-dimensional structures.
Our aim is to built on recent combinatorial and algorithmic progress to attack a series of deeply connected problems that have independantly surfaced in enumerative topology, statistical physics, and data compression.
The relation between these problems lies in the notion of ""combinatorial map"", the natural discrete mathematical abstraction of objects with a 2-dimensional structures (like geographical maps, computer graphics' meshes, or 2d manifolds). A whole new set of properties of these map…
CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS
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