1 Search Results for "Petersen, Casper"


Document
Near Optimal Adjacency Labeling Schemes for Power-Law Graphs

Authors: Casper Petersen, Noy Rotbart, Jakob Grue Simonsen, and Christian Wulff-Nilsen

Published in: LIPIcs, Volume 55, 43rd International Colloquium on Automata, Languages, and Programming (ICALP 2016)


Abstract
An adjacency labeling scheme labels the n nodes of a graph with bit strings in a way that allows, given the labels of two nodes, to determine adjacency based only on those bit strings. Though many graph families have been meticulously studied for this problem, a non-trivial labeling scheme for the important family of power-law graphs has yet to be obtained. This family is particularly useful for social and web networks as their underlying graphs are typically modelled as power-law graphs. Using simple strategies and a careful selection of a parameter, we show upper bounds for such labeling schemes of ~O(sqrt^{alpha}(n)) for power law graphs with coefficient alpha;, as well as nearly matching lower bounds. We also show two relaxations that allow for a label of logarithmic size, and extend the upper-bound technique to produce an improved distance labeling scheme for power-law graphs.

Cite as

Casper Petersen, Noy Rotbart, Jakob Grue Simonsen, and Christian Wulff-Nilsen. Near Optimal Adjacency Labeling Schemes for Power-Law Graphs. In 43rd International Colloquium on Automata, Languages, and Programming (ICALP 2016). Leibniz International Proceedings in Informatics (LIPIcs), Volume 55, pp. 133:1-133:15, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2016)


Copy BibTex To Clipboard

@InProceedings{petersen_et_al:LIPIcs.ICALP.2016.133,
  author =	{Petersen, Casper and Rotbart, Noy and Simonsen, Jakob Grue and Wulff-Nilsen, Christian},
  title =	{{Near Optimal Adjacency Labeling Schemes for Power-Law Graphs}},
  booktitle =	{43rd International Colloquium on Automata, Languages, and Programming (ICALP 2016)},
  pages =	{133:1--133:15},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-013-2},
  ISSN =	{1868-8969},
  year =	{2016},
  volume =	{55},
  editor =	{Chatzigiannakis, Ioannis and Mitzenmacher, Michael and Rabani, Yuval and Sangiorgi, Davide},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ICALP.2016.133},
  URN =		{urn:nbn:de:0030-drops-62684},
  doi =		{10.4230/LIPIcs.ICALP.2016.133},
  annote =	{Keywords: Labeling schemes, Power-law graphs}
}
  • Refine by Author
  • 1 Petersen, Casper
  • 1 Rotbart, Noy
  • 1 Simonsen, Jakob Grue
  • 1 Wulff-Nilsen, Christian

  • Refine by Classification

  • Refine by Keyword
  • 1 Labeling schemes
  • 1 Power-law graphs

  • Refine by Type
  • 1 document

  • Refine by Publication Year
  • 1 2016

Questions / Remarks / Feedback
X

Feedback for Dagstuhl Publishing


Thanks for your feedback!

Feedback submitted

Could not send message

Please try again later or send an E-mail