Improvements of the Frankl–Rödl theorem and geometric consequences
- Авторы: Prosanov R.I.1, Raigorodskii A.M.1,2,3, Sagdeev A.A.1
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Учреждения:
- Mechanics and Mathematics Faculty
- Moscow Institute of Physics and Technology (State University)
- Institute of Mathematics and Computer Science
- Выпуск: Том 96, № 1 (2017)
- Страницы: 336-338
- Раздел: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225204
- DOI: https://doi.org/10.1134/S106456241704007X
- ID: 225204
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Аннотация
The Frankl–Rödl classical bound for the number of edges in a hypergraph with forbidden intersections is improved. The improvements are used to obtain new results in Euclidean Ramsey theory and in combinatorial geometry.
Об авторах
R. Prosanov
Mechanics and Mathematics Faculty
Email: mraigor@yandex.ru
Россия, Moscow, 119991
A. Raigorodskii
Mechanics and Mathematics Faculty; Moscow Institute of Physics and Technology (State University); Institute of Mathematics and Computer Science
Автор, ответственный за переписку.
Email: mraigor@yandex.ru
Россия, Moscow, 119991; Dolgoprudnyi, Moscow oblast, 141700; Ulan-Ude, Buryat Republic, 670000
A. Sagdeev
Mechanics and Mathematics Faculty
Email: mraigor@yandex.ru
Россия, Moscow, 119991
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