License: Creative Commons Attribution 3.0 Unported license (CC-BY 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.APPROX-RANDOM.2014.857
URN: urn:nbn:de:0030-drops-47437
URL: https://drops.dagstuhl.de/opus/volltexte/2014/4743/
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Mehrabian, Abbas ; Wormald, Nick

It’s a Small World for Random Surfers

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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.

BibTeX - Entry

@InProceedings{mehrabian_et_al:LIPIcs:2014:4743,
  author =	{Abbas Mehrabian and Nick Wormald},
  title =	{{It’s a Small World for Random Surfers}},
  booktitle =	{Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques (APPROX/RANDOM 2014)},
  pages =	{857--871},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-74-3},
  ISSN =	{1868-8969},
  year =	{2014},
  volume =	{28},
  editor =	{Klaus Jansen and Jos{\'e} D. P. Rolim and Nikhil R. Devanur and Cristopher Moore},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2014/4743},
  URN =		{urn:nbn:de:0030-drops-47437},
  doi =		{10.4230/LIPIcs.APPROX-RANDOM.2014.857},
  annote =	{Keywords: random-surfer webgraph model, PageRank-based selection model, smallworld phenomenon, height of random trees, probabilistic analysis, large deviations}
}

Keywords: random-surfer webgraph model, PageRank-based selection model, smallworld phenomenon, height of random trees, probabilistic analysis, large deviations
Collection: Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques (APPROX/RANDOM 2014)
Issue Date: 2014
Date of publication: 04.09.2014


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