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Self-organization of networks

Sergey N. Dorogovtsev

in Lectures on Complex Networks

Published in print:
2010
Published Online:
May 2010
ISBN:
9780199548927
eISBN:
9780191720574
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199548927.003.0007
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter demonstrates how the evolution of a network shapes its complex architecture. It starts with a discussion of recursive networks, in which attachments are to nodes chosen uniformly at ... More


Models of network formation: A discussion of models of the formation of networks, particularly models of networks that grow by addition of vertices, such as the World Wide Web or citation networks

M. E. J. Newman

in Networks: An Introduction

Published in print:
2010
Published Online:
September 2010
ISBN:
9780199206650
eISBN:
9780191594175
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199206650.003.0014
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Generative network models model the mechanisms by which networks are created. The idea behind models such as these is to explore hypothesized generative mechanisms to see what structures they ... More


POPULARITY IS ATTRACTIVE

S. N. Dorogovtsev and J. F. F. Mendes

in Evolution of Networks: From Biological Nets to the Internet and WWW

Published in print:
2003
Published Online:
January 2010
ISBN:
9780198515906
eISBN:
9780191705670
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198515906.003.0003
Subject:
Physics, Soft Matter / Biological Physics

This chapter explains the preferential attachment mechanism in application to growing networks. Illustrating models show that proportional preferential attachment in recursive networks leads to ... More


NON-EQUILIBRIUM NETWORKS

S. N. Dorogovtsev and J. F. F. Mendes

in Evolution of Networks: From Biological Nets to the Internet and WWW

Published in print:
2003
Published Online:
January 2010
ISBN:
9780198515906
eISBN:
9780191705670
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198515906.003.0006
Subject:
Physics, Soft Matter / Biological Physics

This chapter describes in detail the preferential attachment mechanism. It starts with growing networks with exponential degree distributions, and then considers structural characteristics of basic ... More


Models of network formation

Mark Newman

in Networks

Published in print:
2018
Published Online:
October 2018
ISBN:
9780198805090
eISBN:
9780191843235
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198805090.003.0013
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter describes models of the growth or formation of networks, with a particular focus on preferential attachment models. It starts with a discussion of the classic preferential attachment ... More


The growth of syntax

Anat Ninio

in Language and the Learning Curve: A new theory of syntactic development

Published in print:
2006
Published Online:
April 2010
ISBN:
9780199299829
eISBN:
9780191584985
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199299829.003.0006
Subject:
Psychology, Cognitive Models and Architectures

This chapter examines the role of the environment in syntactic development, and argues for novel conceptualization derived from complexity theory. According to this view, language is a complex ... More


Network growth algorithms

A.C.C. Coolen, A. Annibale, and E.S. Roberts

in Generating Random Networks and Graphs

Published in print:
2017
Published Online:
May 2017
ISBN:
9780198709893
eISBN:
9780191780172
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198709893.003.0008
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Growth processes are a fundamentally different approach compared to probability-driven exponential models covered in earlier chapters. This chapter studies how growth rules can be designed to mimic ... More


GROWTH OF NETWORKS AND SELF-ORGANIZED CRITICALITY

S. N. Dorogovtsev and J. F. F. Mendes

in Evolution of Networks: From Biological Nets to the Internet and WWW

Published in print:
2003
Published Online:
January 2010
ISBN:
9780198515906
eISBN:
9780191705670
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198515906.003.0008
Subject:
Physics, Soft Matter / Biological Physics

This chapter is devoted to the Simon model and other general models based on the preferential attachment mechanism. It starts with a brief description of the Simon model and then describes its ... More


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