Rigorous results on the threshold network model

Norio Konno; Naoki Masuda; Rahul Roy; Anish Sarkar

doi:10.1088/0305-4470/38/28/002

Rigorous results on the threshold network model

Norio Konno
, Naoki Masuda
, Rahul Roy
, Anish Sarkar

Mathematics

Yokohama National University
Indian Statistical Institute

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

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 language	English
Pages (from-to)	6277-6291
Number of pages	15
Journal	Journal of Physics A: Mathematical and General
Volume	38
Issue number	28
DOIs	https://doi.org/10.1088/0305-4470/38/28/002
State	Published - Jul 15 2005

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title = "Rigorous results on the threshold network model",

abstract = "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.",

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AU - Konno, Norio

AU - Masuda, Naoki

AU - Roy, Rahul

AU - Sarkar, Anish

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Y1 - 2005/7/15

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/22144471576

U2 - 10.1088/0305-4470/38/28/002

DO - 10.1088/0305-4470/38/28/002

M3 - Article

AN - SCOPUS:22144471576

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VL - 38

SP - 6277

EP - 6291

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

IS - 28

ER -

Rigorous results on the threshold network model

Abstract

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