ERC Advanced Grant · 2017
Extremal Combinatorics: existence, counting and typical structure
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. A very effective approach here is to seek asymptotic results - rather than exact formulas. This asymptotic approach sometimes makes it possible to go even further and ultimately uncover the (iii)…
From the public funding record at EU CORDIS. Describes the funded project, not the reviews below.