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Deciding on the Type of a Graph from a BFS

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Part of the book series: Communications in Computer and Information Science ((CCIS,volume 116))

Abstract

The degree distribution of the Internet topology is considered as one of its main properties. However, it is only known through a measurement procedure which gives a biased estimate. This measurement may in first approximation be modeled by a BFS (Breadth-First Search) tree. We explore here our ability to infer the type (Poisson or power-law) of the degree distribution from such a limited knowledge. We design procedures which estimate the degree distribution of a graph from a BFS of it, and show experimentally (on models and real-world data) that this approach succeeds in making the difference between Poisson and power-law graphs.

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© 2011 Springer-Verlag Berlin Heidelberg

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Wang, X., Latapy, M., Soria, M. (2011). Deciding on the Type of a Graph from a BFS. In: da F. Costa, L., Evsukoff, A., Mangioni, G., Menezes, R. (eds) Complex Networks. Communications in Computer and Information Science, vol 116. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25501-4_7

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  • DOI: https://doi.org/10.1007/978-3-642-25501-4_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-25500-7

  • Online ISBN: 978-3-642-25501-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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