Rigorous results on the threshold network model

Norio Konno*, Naoki Masuda, Rahul Roy, Anish Sarkar

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)


We analyse the threshold network model in which a pair of vertices with random weights are connected by an edge when the summation of the weights exceeds a threshold. We prove some convergence theorems and central limit theorems on the vertex degree, degree correlation and the number of prescribed subgraphs. We also generalize some results in the spatially extended cases.

Original languageEnglish
Pages (from-to)6277-6291
Number of pages15
JournalJournal of Physics A: Mathematical and General
Issue number28
Publication statusPublished - 2005 Jul 15
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)


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