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Random Hypergraphs and Subset Systems

CHEN De-qiang ZHENG Jie WU Xiao-qian

东华大学学报(英文版)2008,Vol.25Issue(2):222-224,3.
东华大学学报(英文版)2008,Vol.25Issue(2):222-224,3.

Random Hypergraphs and Subset Systems

Random Hypergraphs and Subset Systems

CHEN De-qiang 1ZHENG Jie 2WU Xiao-qian2

作者信息

  • 1. College of Information Technology and Science,Nankai University,Tianjin 300071,China
  • 2. Department of Applied Mathematics,Doughua University,Shanghai 201620,China
  • 折叠

摘要

Abstract

Suppose to toss an independent coin with equal probability of success and failure for each subset of [n]={l,2,…,n},and form the random hypergraph H(n) by taking as hyperedges the subsets with successful cointosses.It is proved that H(n) is almost surely connected.By defining a graph G(S) according toa subset system S,it is shown that the intersecting problem is NP-complete.

关键词

hypergraph/subset system/intersecting

Key words

hypergraph/subset system/intersecting

分类

数理科学

引用本文复制引用

CHEN De-qiang,ZHENG Jie,WU Xiao-qian..Random Hypergraphs and Subset Systems[J].东华大学学报(英文版),2008,25(2):222-224,3.

东华大学学报(英文版)

1672-5220

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