On Algorithmic Methods of Analysis of Two-Colorings of Hypergraphs
- Авторы: Lebedeva A.1
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Учреждения:
- Moscow State University
- Выпуск: Том 213, № 2 (2016)
- Страницы: 211-229
- Раздел: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/237159
- DOI: https://doi.org/10.1007/s10958-016-2711-7
- ID: 237159
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Аннотация
Abstract. This paper deals with an extremal problem concerning hypergraph colorings. Let k be an integer. The problem is to find the value mk(n) equal to the minimum number of edges in an n-uniform hypergraph not admitting two-colorings of the vertex set such that every edge of the hypergraph contains at least k vertices of each color. In this paper, we obtain upper bounds of mk(n) for small k and n, the exact value of m4(8), and a lower bound for m3(7).
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Об авторах
A. Lebedeva
Moscow State University
Автор, ответственный за переписку.
Email: anuta278@yandex.ru
Россия, Moscow