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It’s a Small World for Random Surfers

Authors Abbas Mehrabian, Nick Wormald

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Abbas Mehrabian
Nick Wormald

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Abbas Mehrabian and Nick Wormald. It’s a Small World for Random Surfers. In Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques (APPROX/RANDOM 2014). Leibniz International Proceedings in Informatics (LIPIcs), Volume 28, pp. 857-871, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2014)
https://doi.org/10.4230/LIPIcs.APPROX-RANDOM.2014.857

Abstract

We prove logarithmic upper bounds for the diameters of the random-surfer Webgraph model and the PageRank-based selection Webgraph model, confirming the small-world phenomenon holds for them. In the special case when the generated graph is a tree, we get close lower and upper bounds for the diameters of both models.
Keywords
  • random-surfer webgraph model
  • PageRank-based selection model
  • smallworld phenomenon
  • height of random trees
  • probabilistic analysis
  • large deviations

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