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Mutual Selection in Network Evolution:. the Role of the Intrinsic Fitness

Mutual Selection in Network Evolution:. the Role of the Intrinsic Fitness,10.1142/S0129183110015014,International Journal of Modern Physics C,Xin-Jian

Mutual Selection in Network Evolution:. the Role of the Intrinsic Fitness  
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We propose a new mechanism leading to scale-free networks which is based on the presence of an intrinsic character of a vertex called fitness. In our model, a vertex i is assigned a fitness xi, drawn from a given probability distribution function f(x). During network evolution, with rate p we add a vertex j of fitness xj and connect to an existing vertex i of fitness xi selected preferentially to a linking probability function g(xi, xj) which depends on the fitnesses of the two vertices involved and, with rate 1 - p we create an edge between two already existed vertices with fitnesses xi and xj, with a probability also preferential to the connection function g(xi, xj). For the proper choice of g, the resulting networks have generalized power-laws, irrespective of the fitness distribution of vertices.
Journal: International Journal of Modern Physics C - IJMPC , vol. 21, no. 01, pp. 129-135, 2010
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