On a Bound in Extremal Combinatorics


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A new statement of a recent theorem of [1, 2] on the maximum number of edges in a hypergraph with forbidden cardinalities of edge intersections is given. This statement is fundamentally simpler than the original one, which makes it possible to obtain important corollaries in combinatorial geometry and Ramsey theory.

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A. Raigorodskii

Moscow Institute of Physics and Technology (State University); Mechanics and Mathematics Faculty; Institute of Mathematics and Computer Science

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Email: mraigor@yandex.ru
俄罗斯联邦, Dolgoprudnyi, Moscow oblast, 141700; Moscow, 119991; Ulan-Ude, Buryat Republic, 670000

A. Sagdeev

Moscow Institute of Physics and Technology (State University); Mechanics and Mathematics Faculty

Email: mraigor@yandex.ru
俄罗斯联邦, Dolgoprudnyi, Moscow oblast, 141700; Moscow, 119991

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