TY - JOUR

T1 - Analysis of scale-free networks based on a threshold graph with intrinsic vertex weights

AU - Masuda, Naoki

AU - Miwa, Hiroyoshi

AU - Konno, Norio

N1 - Funding Information:
We thank G. Caldarelli, P. De Los Rios, and A. Flammini for valuable comments and for introducing to us the important references. This study was supported by the Grant-in-Aid for Scientific Research, Grant-in-Aid for Young Scientists (B) (Grant No. 15700020), and the Grant-in-Aid for Scientific Research (B) (Grant No. 12440024) of Japan Society of the Promotion of Science.

PY - 2004/9

Y1 - 2004/9

N2 - The scale-free networks based on a threshold graph with intrinsic vertex weights, were described. The network model, which was based on thresholding of the intrinsic summed vertex weights belonging to the class of networks, was analyzed. The power-law degree distributions, with the dynamically stable scaling exponent 2, realistic clustering, and short path lengths were produced for various weight distributions. It was observed that the thresholding mechanisms can underlie a family of real complex networks which is characterized by cooperativeness and the baseline scaling exponent 2. The results show that the cooperative thresholding mechanisms yield different characteristics from those of growing types of networks.

AB - The scale-free networks based on a threshold graph with intrinsic vertex weights, were described. The network model, which was based on thresholding of the intrinsic summed vertex weights belonging to the class of networks, was analyzed. The power-law degree distributions, with the dynamically stable scaling exponent 2, realistic clustering, and short path lengths were produced for various weight distributions. It was observed that the thresholding mechanisms can underlie a family of real complex networks which is characterized by cooperativeness and the baseline scaling exponent 2. The results show that the cooperative thresholding mechanisms yield different characteristics from those of growing types of networks.

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U2 - 10.1103/PhysRevE.70.036124

DO - 10.1103/PhysRevE.70.036124

M3 - Article

C2 - 15524604

AN - SCOPUS:45849154595

VL - 70

SP - 036124-1-036124-9

JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

SN - 1063-651X

IS - 3 2

M1 - 036124

ER -