Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik GmbH Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik GmbH scholarly article en Petersen, Casper; Rotbart, Noy; Simonsen, Jakob Grue; Wulff-Nilsen, Christian http://www.dagstuhl.de/lipics License
when quoting this document, please refer to the following
DOI:
URN: urn:nbn:de:0030-drops-62684
URL:

; ; ;

Near Optimal Adjacency Labeling Schemes for Power-Law Graphs

pdf-format:


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.

BibTeX - Entry

@InProceedings{petersen_et_al:LIPIcs:2016:6268,
  author =	{Casper Petersen and Noy Rotbart and Jakob Grue Simonsen and Christian Wulff-Nilsen},
  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 =	{Ioannis Chatzigiannakis and Michael Mitzenmacher and Yuval Rabani and Davide Sangiorgi},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2016/6268},
  URN =		{urn:nbn:de:0030-drops-62684},
  doi =		{10.4230/LIPIcs.ICALP.2016.133},
  annote =	{Keywords: Labeling schemes, Power-law graphs}
}

Keywords: Labeling schemes, Power-law graphs
Seminar: 43rd International Colloquium on Automata, Languages, and Programming (ICALP 2016)
Issue date: 2016
Date of publication: 2016


DROPS-Home | Fulltext Search | Imprint Published by LZI