Mathematics – Probability
Scientific paper
2005-05-31
J. Phys. A, 38, 6277-6291 (2005)
Mathematics
Probability
21 pages, Journal of Physics A, in press
Scientific paper
10.1088/0305-4470/38/28/002
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.
Konno Norio
Masuda Naoki
Roy Rahul
Sarkar Anish
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