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

^*Corresponding author for this work

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

12 Citations (Scopus)

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
Publication status	Published - 2005 Jul 15
Externally published	Yes

ASJC Scopus subject areas

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

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10.1088/0305-4470/38/28/002

Cite this

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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.",

author = "Norio Konno and Naoki Masuda and Rahul Roy and Anish Sarkar",

year = "2005",

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T1 - Rigorous results on the threshold network model

AU - Konno, Norio

AU - Masuda, Naoki

AU - Roy, Rahul

AU - Sarkar, Anish

PY - 2005/7/15

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.

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

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

M3 - Article

AN - SCOPUS:22144471576

SN - 0305-4470

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

ASJC Scopus subject areas

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