Statistical properties of a generalized threshold network model

Yusuke Ide*, Norio Konno, Naoki Masuda

*この研究の対応する著者

研究成果: Article査読

4 被引用数 (Scopus)

抄録

The threshold network model is a type of finite random graph. In this paper, we introduce a generalized threshold network model. A pair of vertices with random weights is connected by an edge when real-valued functions of the pair of weights belong to given Borel sets. We extend several known limit theorems for the number of prescribed subgraphs and prove a uniform strong law of large numbers. We also prove two limit theorems for the local and global clustering coefficients.

本文言語English
ページ(範囲)361-377
ページ数17
ジャーナルMethodology and Computing in Applied Probability
12
3
DOI
出版ステータスPublished - 2010
外部発表はい

ASJC Scopus subject areas

  • 統計学および確率
  • 数学 (全般)

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