Vidal's libraryTitle: | Complex networks and decentralized search algorithms |
Author: | Jon Kleinberg |
Book Tittle: | Proceedings of the International Congress of Mathematicians |
Year: | 2006 |
Abstract: | The study of complex networks has emerged over the past several years as a theme spanning many disciplines, ranging from mathematics and computer science to the social and biological sciences. A significant amount of recent work in this area has focused on the development of random graph models that capture some of the qualitative properties observed in large-scale network data; such models have the potential to help us reason, at a general level, about the ways in which real-world networks are organized. We survey one particular line of network research, concerned with small-world phenomena and decentralized search algorithms, that illustrates this style of analysis. We begin by describing awell-known experiment that provided the first empirical basis for the “six degrees of separation” phenomenon in social networks; wethen discuss some probabilistic network models motivated by this work, illustrating how these models lead to novel algorithmic and graph-theoretic questions, and how they are supported by recent empirical studies of large social networks. |
Cited by 69 - Google Scholar
@InProceedings{kleinberg06a,
author = {Jon Kleinberg},
title = {Complex networks and decentralized search
algorithms},
booktitle = {Proceedings of the International Congress of
Mathematicians},
year = 2006,
abstract = {The study of complex networks has emerged over the
past several years as a theme spanning many
disciplines, ranging from mathematics and computer
science to the social and biological sciences. A
significant amount of recent work in this area has
focused on the development of random graph models
that capture some of the qualitative properties
observed in large-scale network data; such models
have the potential to help us reason, at a general
level, about the ways in which real-world networks
are organized. We survey one particular line of
network research, concerned with small-world
phenomena and decentralized search algorithms, that
illustrates this style of analysis. We begin by
describing awell-known experiment that provided the
first empirical basis for the ``six degrees of
separation'' phenomenon in social networks; wethen
discuss some probabilistic network models motivated
by this work, illustrating how these models lead to
novel algorithmic and graph-theoretic questions, and
how they are supported by recent empirical studies
of large social networks.},
cluster = {5316437966672474115},
url = {http://jmvidal.cse.sc.edu/library/kleinberg06a.pdf}
}
Last modified: Wed Mar 9 10:16:45 EST 2011