Rigorous results on the threshold network model

Norio Konno; Naoki Masuda; Rahul Roy; Anish Sarkar

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

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Rigorous results on the threshold network model

Norio Konno·Naoki Masuda·Rahul Roy·Anish Sarkar

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Abstract

We analyze 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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BibTeX RIS

Norio Konno, Naoki Masuda, Rahul Roy, Anish Sarkar. 2005-05-31. Rigorous results on the threshold network model. https://doi.org/10.1088/0305-4470/38/28/002

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