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6. Random Graphs, Small-Worlds and Scale-Free Networks

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Book cover Peer-to-Peer Systems and Applications

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 3485))

Abstract

In this chapter we will introduce two famous network models that arose much interest in recent years: The small-world model of Duncan Watts and Steven Strogatz [615] and scale-free or power-law networks, first presented by the Faloutsos brethren [201] and filled with life by a model of Albert- László Barabási and Réka Alberts [60]. These models describe some structural aspects of most real-world networks. The most prevalent network structure of small-world networks is a local mesh-like part combined with some random edges that make the network small.

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© 2005 Springer-Verlag Berlin Heidelberg

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Lehmann, K.A., Kaufmann, M. (2005). 6. Random Graphs, Small-Worlds and Scale-Free Networks. In: Steinmetz, R., Wehrle, K. (eds) Peer-to-Peer Systems and Applications. Lecture Notes in Computer Science, vol 3485. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11530657_6

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  • DOI: https://doi.org/10.1007/11530657_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-29192-3

  • Online ISBN: 978-3-540-32047-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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