7 Optimization in Complex Networks

by Ramon Ferrer, Ricard V Sol
Networks ()
Get full text at journal

Abstract

Many complex systems can be described in terms of networks of interacting units. Recent studies have shown that a wide class of both natural and artificial nets display a surprisingly widespread feature: the presence of highly heterogeneous distributions of links, providing an extraordinary source of robustness against perturbations. Although most theories concerning the origin of these topologies use growing graphs, here we show that a simple optimization process can also account for the observed regularities displayed by most complex nets. Using an evolutionary algorithm involving minimization of link density and average distance, four major types of networks are encountered: (a) sparse exponential-like networks, (b) sparse scale-free networks, (c) star networks and (d) highly dense networks, apparently defining three major phases. These constraints provide a new explanation for scaling of exponent about -3. The evolutionary consequences of these results are outlined.

Cite this document (BETA)

Readership Statistics

13 Readers on Mendeley
by Discipline
 
31% Physics and Astronomy
 
15% Engineering
 
15% Environmental Science
by Academic Status
 
54% Researcher
 
31% Student > Master
 
15% Student > Ph. D. Student
by Country
 
15% Italy
 
8% India
 
8% Spain

Sign up today - FREE

Mendeley saves you time finding and organizing research. Learn more

  • All your research in one place
  • Add and import papers easily
  • Access it anywhere, anytime

Start using Mendeley in seconds!

Sign up & Download

Already have an account? Sign in