"Winner takes it all": strongest node rule for evolution of scale free networks

Štefančić, Hrvoje; Zlatić, Vinko (2005) "Winner takes it all": strongest node rule for evolution of scale free networks. Physical Review E, 72 . 036105-1-036105-6. ISSN 1539-3755

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Abstract

We study a novel model for evolution of complex networks. We introduce information filtering for reduction of the number of available nodes to a randomly chosen sample, as stochastic component of evolution. New nodes are attached to the nodes that have maximal degree in the sample, which is a deterministic component of network evolution process. This fact is a novel for evolution of scale free networks and depicts a possible new route for modeling network growth. We present both simulational and theoretical results for network evolution. The obtained degree distributions exhibit an obvious power-law behavior in the middle with the exponential cut off in the end. This highlights the essential characteristics of information filtering in the network growth mechanisms.

Item Type:	Article
Additional Information:	Imported from arXiv
Uncontrolled Keywords:	Scale-free networks; Master equation; Degree distribution
Subjects:	NATURAL SCIENCES > Physics
Divisions:	Theoretical Physics Division
Depositing User:	Vinko Zlatić
Date Deposited:	12 Oct 2015 16:02
URI:	http://fulir.irb.hr/id/eprint/721
DOI:	10.1103/PhysRevE.72.036105

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