Titlebook: An Irregular Mind; Szemerédi is 70 Imre Bárány,József Solymosi,Gábor Sági Book 2010 János Bolyai Mathematical Society and Springer-Verlag 2

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https://doi.org/10.1007/978-3-322-83834-6sion of such a model, reduces to a single equation. They state that the solution of the resulting equation gives the critical point. However, just as in the classical case of bond percolation on the square lattice, self-duality is simply the starting point: the mathematical difficulty is precisely s

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Preamble

Frankfurt: Stadt als dichter Raumerdam, 1978, pp. 939-945], which gave rise to a purely combinatorial proof of the fact that sets of integers of positive upper density contain three-term arithmetic progressions, a result first proved by Roth [., J. London Math. Soc. . (1953), 104-109].

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Pander

https://doi.org/10.1007/978-3-642-95018-6 known results related to property testing, sublinear expanders, Ramsey numbers and FO model checking. All this is done under the same umbrella of nowhere dense and bounded expansion classes in many of their incarnations. We concentrate on extremal (mostly graph theory) results leaving algorithmic a

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https://doi.org/10.1007/978-3-642-73830-2) in an n-vertex graph G is at least n/2 then G contains a Hamiltonian cycle. In 1999, Katona and Kierstead initiated a new stream of research devoted to studying similar questions for hypergraphs, and subsequently, for perfect matchings. A pivotal role in achieving some of the most important result

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Technik der konservativen Behandlung,these properties a graph will share many other properties with suitably defined random graphs. This very general idea applies to many other structures, but here we restrict ourselves to graphs, without direction, loops, or multiple edges.