Partitioning dense uniform hypergraphs

被引：1

作者：

Wu, Shufei ^{[1
,2
]}

Hou, Jianfeng ^{[2
]}

机构：

[1] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo 454000, Henan, Peoples R China

[2] Fuzhou Univ, Ctr Discrete Math, Fuzhou 350003, Fujian, Peoples R China

来源：

JOURNAL OF COMBINATORIAL OPTIMIZATION | 2018年 / 35卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Hypergraph; Partition; Max-Cut; Azuma-Hoeffding inequality; JUDICIOUS K-PARTITIONS; BIPARTITIONS; BOUNDS;

D O I：

10.1007/s10878-017-0153-x

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

Let and be fixed integers, and let H be an r-uniform hypergraph with n vertices and m edges. In 1997, Bollobas and Scott conjectured that H has a vertex-partition into k sets with at most edges in each set. So far, this conjecture was confirmed when or . In this paper, we show that it holds for for any .

引用

页码：48 / 63

页数：16

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