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Lectures on Complex Networks$
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Sergey Dorogovtsev

Print publication date: 2010

Print ISBN-13: 9780199548927

Published to Oxford Scholarship Online: May 2010

DOI: 10.1093/acprof:oso/9780199548927.001.0001

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(p.113) 14 Optimization
Lectures on Complex Networks

Sergey N. Dorogovtsev

Oxford University Press

This chapter demonstrates how a universal requirement for optimality leads to the complex structural organization of a network. It discusses a long-lasting criticism of the preferential concept and describes existing approaches to the optimization-driven evolution of complex networks. In particular, the optimized trade-off model of a growing network is described, as well as models showing the explosive percolation phenomenon.

Keywords:   optimization algorithms, optimized trade-offs, cost function, optimal choice models, explosive percolation

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