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The Rank-One and the Preferential Attachment Paradigm

Steffen Dereich ()
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Steffen Dereich: Westfälische-Wilhelms Universität Münster, Institute of Mathematical Stochastics

Chapter Chapter 4 in Network Science, 2019, pp 43-58 from Springer

Abstract: Abstract Starting from the late 1990s, the analysis of complex networks has attracted significant attention within the scientific community. With the birth of social networks, information became available on personal interaction on large scales which immediately raised the question about the nature of this interaction. Mathematically one asks for models that have similar features as real-world complex networks. In particular, one wants to understand the reasons for the prevalent artefacts of complex networks. In this article, we review some classical models with a focus on two paradigms, rank-one models and preferential attachment.

Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-26814-5_4

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DOI: 10.1007/978-3-030-26814-5_4

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