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Models of Random Graphs and Their Applications to the Web-Graph Analysis

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Information Retrieval (RuSSIR 2015)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 573))

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Abstract

This course provides an overview of various models for random graphs and their applications to the Web graph. We start with the classical Erdős-Rényi model, then proceed with the most recent models describing the topology and growth of the Internet, social networks, economic network, and biological networks, and finally present several applications of these models to the problems of search and crawling.

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Notes

  1. 1.

    The paper submitted to Internet Mathematics.

  2. 2.

    Submitted to Izvestia Mathematics.

  3. 3.

    Accepted to WAW.

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Acknowledgments

The author was supported by Russian Foundation for Basic Research, grant no. 15-01-00350, and by grant NSH-2964.2014.1 for support of leading scientific schools.

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Authors and Affiliations

  1. Lomonosov Moscow State University, Moscow, Russia

    Andrei Raigorodskii

  2. Moscow Institute of Physics and Technology, Dolgoprudny, Russia

    Andrei Raigorodskii

  3. Yandex, Moscow, Russia

    Andrei Raigorodskii

  4. Institute of Mathematics and Computer Science, Buryat State University, Ulan-Ude, Russia

    Andrei Raigorodskii

Authors
  1. Andrei Raigorodskii
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Correspondence to Andrei Raigorodskii .

Editor information

Editors and Affiliations

  1. Ural Federal University , Yekaterinburg, Russia

    Pavel Braslavski

  2. University of Amsterdam, Amsterdam, The Netherlands

    Ilya Markov

  3. University of Florida , Gainsville, Florida, USA

    Panos Pardalos

  4. Eurecat , Barcelona, Spain

    Yana Volkovich

  5. National Research University Higher School of Economics, Moscow, Russia

    Dmitry I. Ignatov

  6. National Research University Higher School of Economics, Saint Petersburg, Russia

    Sergei Koltsov

  7. National Research University Higher School of Economics, Saint Petersburg, Russia

    Olessia Koltsova

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Raigorodskii, A. (2016). Models of Random Graphs and Their Applications to the Web-Graph Analysis. In: Braslavski, P., et al. Information Retrieval. RuSSIR 2015. Communications in Computer and Information Science, vol 573. Springer, Cham. https://doi.org/10.1007/978-3-319-41718-9_5

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  • DOI: https://doi.org/10.1007/978-3-319-41718-9_5

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-41717-2

  • Online ISBN: 978-3-319-41718-9

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