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• W2281204610 abstract "We propose a weighted model to explain the self-organizing formation of scale-free phenomenon in non-growth random networks. In this model, we use multiple-edges to represent the connections between vertices and define the weight of a multiple-edge as the total weights of all single-edges within it and the strength of a vertex as the sum of weights for those multiple-edges attached to it. The network evolves according to a vertex strength preferential selection mechanism. During the evolution process, the network always holds its total number of vertices and its total number of single-edges constantly. We show analytically and numerically that a network will form steady scale-free distributions with our model. The results show that a weighted non-growth random network can evolve into scale-free state. It is interesting that the network also obtains the character of an exponential edge weight distribution. Namely, coexistence of scale-free distribution and exponential distribution emerges." @default.
• W2281204610 created "2016-06-24" @default.
• W2281204610 creator A5003681868 @default.
• W2281204610 creator A5019950323 @default.
• W2281204610 creator A5026046712 @default.
• W2281204610 date "2012-09-01" @default.
• W2281204610 modified "2023-09-23" @default.
• W2281204610 title "Weighted Scaling in Non-growth Random Networks" @default.
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• W2281204610 doi "https://doi.org/10.1088/0253-6102/58/3/24" @default.
• W2281204610 hasPublicationYear "2012" @default.
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