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  • 标题:The Minimum Bisection in the Planted Bisection Model
  • 本地全文:下载
  • 作者:Amin Coja-Oghlan ; Oliver Cooley ; Mihyun Kang
  • 期刊名称:Theory of Computing
  • 印刷版ISSN:1557-2862
  • 电子版ISSN:1557-2862
  • 出版年度:2017
  • 卷号:13
  • 出版社:University of Chicago
  • 摘要:In the planted bisection model a random graph G⃗ (n,p+,p−)G→(n,p+,p−) with nn vertices is created by partitioning the vertices randomly into two classes of equal size (up to ±1±1). Any two vertices that belong to the same class are linked by an edge with probability p+p+ and any two that belong to different classes with probability p−cd+lnd+−−−−−−−√d+−d−>cd+ln⁡d+ for a certain constant c>0c>0.
  • 关键词:random graphs; minimum bisection; planted bisection; belief propagation
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