Vidal's library
Title: 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