CORDIS Project
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This project investigates the existence and counting of combinatorial objects, focusing on designs, decompositions, Latin squares, and graph matchings. It aims to develop new probabilistic tools for asymptotic analysis, enhancing understanding of complex structures relevant to statistical physics and theoretical comput…
A central theme of extremal combinatorics is the interplay and relationship between the parameters of combinatorial objects.
The first and most immediate question which arises in this context is that of the (i) existence of objects with a given set of parameters.
Once this has been answered, the next step is to seek for (ii) the number of such objects - i.e. to ask for a counting result.
This is of central importance in the context of many combinatorial questions arising in statistical physics.…
THE UNIVERSITY OF BIRMINGHAM
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