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Hierarchy in the growing scale-free network with local rules
Authors:Peter Ná  ther,Boris Rudolf
Affiliation:a Department of Applied Informatics, Faculty of Mathematics, Physics and Informatics, Comenius University, Mlynská dolina, Bratislava, Slovakia
b Department of Mathematics, Faculty of Electrical Engineering and Information Technology, Slovakia
Abstract:A new model of the clustering-driven growing network is presented and studied. Numerical and analytical results show that the pure clustering-driven addition of the certain pattern is not responsible for the resulting network hierarchy and scale-free structure. Introduction of local rules leads to the desired properties of the network, independently of the node attachment kernel.
Keywords:Hierarchy   Clustering driven network   Growing network   Local rules
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