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GLOBAL TOPOLOGY OF 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/9780198515906.003.0007
Subject:
Physics, Soft Matter / Biological Physics

This chapter describes the global organization of undirected and directed complex networks. This includes the statistics and structure of connected components in these networks, the emergence of a ... More


Percolation and epidemics

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/9780199548927.003.0006
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter considers the organization of connected components in uncorrelated networks, in particular, the structure and size of a giant connected component. These properties are closely related to ... More


Classical random graphs

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/9780199548927.003.0002
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter gives insight into the simplest and most studied random networks: the classical random graphs. The Erdös–Rényi and Gilbert models are described, and some of their properties and ... More


WHAT ARE 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/9780198515906.003.0002
Subject:
Physics, Soft Matter / Biological Physics

This chapter introduces the basic characteristics and notions of graph theory and the science of networks: degree, degree distribution, clustering coefficient, the average length of the shortest path ... More


The structure of real-world networks

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/9780198805090.003.0010
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter brings together the ideas and techniques developed in previous chapters, applying them to a range of real-world networks to describe and understand the structure of those networks. ... More


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