On Algorithmic Methods of Analysis of Two-Colorings of Hypergraphs

被引：0
|
作者：
Lebedeva A.V. [1 ]
机构：
[1] Moscow State University, Moscow
来源：
Journal of Mathematical Sciences | 2016年 / 213卷 / 2期
关键词：
Extremal Problem; Algorithmic Method; Induction Base; Function Check; Blue Vertex;
D O I：
10.1007/s10958-016-2711-7
中图分类号：
学科分类号：
摘要：
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). © 2016, Springer Science+Business Media New York.
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页码：211 / 229
页数：18
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