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4一致(ξ)-超图的最小边数的上界

刁科凤 刘桂真

应用数学2004,Vol.17Issue(4):623-628,6.
应用数学2004,Vol.17Issue(4):623-628,6.

4一致(ξ)-超图的最小边数的上界

Upper Bounds on Minimum Number of (ξ) edges of 4-(ξ)Uniform Hypergraphs

刁科凤 1刘桂真2

作者信息

  • 1. 山东大学数学与系统科学学院,山东,济南,250100
  • 2. 临沂师范学院数学系,山东,临沂,276005
  • 折叠

摘要

Abstract

The upper chromatic number (-x) (H) of a l- hypergraph H = (X, l) is the maximum number of colors that can be assigned to the vertices of H in such a way that each C ∈ l contains a monochromatic pair of vertices. It is closely related to the number of l- edges. In this paper discusses the relationship between the lower bound of the size of l- edges and the lower bound of the upper chromatic number is discussed and an upper bound of minimum number l- edges of 4-uniform l- hypergraphs with minimum upper chromatic number is given.

关键词

混合超图/严格染色/上色数/点对图两相渗流驱动问题的

Key words

l- hypergraph/Strict coloring/Upper chromatic number/Pair graph

分类

数理科学

引用本文复制引用

刁科凤,刘桂真..4一致(ξ)-超图的最小边数的上界[J].应用数学,2004,17(4):623-628,6.

基金项目

Supported by NNSF(60172003),NSF(Z200A02)of Shangdong Province of China (60172003)

应用数学

OA北大核心CSCDCSTPCD

1001-9847

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