Article ID Journal Published Year Pages File Type
979326 Physica A: Statistical Mechanics and its Applications 2009 12 Pages PDF
Abstract
This paper proposes a network model to understand the scale-free property of directed networks. The proposed model assigns two intrinsic variables (incoming and outgoing weights) to every node. A directed link is established from node i to node j if the sum of the outgoing weight of node i and the incoming weight of node j exceeds a predetermined threshold. The proposed model allows us to know the exact analytical expressions for degree distributions and clustering. We analytically find that the in-degree and out-degree distributions have power-law tails and their scaling exponents are controllable within the range (1,∞). The average clustering coefficient of nodes with out-degree (or in-degree) n also has a power-law tail as a function of n. We also find that the scaling exponent of the clustering coefficient depends on the correlation between incoming and outgoing weights.
Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics
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