License: Creative Commons Attribution 3.0 Unported license (CC BY 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/OASIcs.SOSA.2018.7
URN: urn:nbn:de:0030-drops-83001
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Eden, Talya ; Rosenbaum, Will

On Sampling Edges Almost Uniformly

OASIcs-SOSA-2018-7.pdf (0.5 MB)


We consider the problem of sampling an edge almost uniformly from an unknown graph, G = (V, E). Access to the graph is provided via queries of the following types: (1) uniform vertex queries, (2) degree queries, and (3) neighbor queries. We describe a new simple algorithm that returns a random edge e in E using \tilde{O}(n/sqrt{eps m}) queries in expectation, such that each edge e is sampled with probability (1 +/- eps)/m. Here, n = |V| is the number of vertices, and m = |E| is the number of edges. Our algorithm is optimal in the sense that any algorithm that samples an edge from an almost-uniform distribution must perform Omega(n/sqrt{m}) queries.

BibTeX - Entry

  author =	{Talya Eden and Will Rosenbaum},
  title =	{{On Sampling Edges Almost Uniformly}},
  booktitle =	{1st Symposium on Simplicity in Algorithms (SOSA 2018)},
  pages =	{7:1--7:9},
  series =	{OpenAccess Series in Informatics (OASIcs)},
  ISBN =	{978-3-95977-064-4},
  ISSN =	{2190-6807},
  year =	{2018},
  volume =	{61},
  editor =	{Raimund Seidel},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{},
  URN =		{urn:nbn:de:0030-drops-83001},
  doi =		{10.4230/OASIcs.SOSA.2018.7},
  annote =	{Keywords: Sublinear Algorithms, Graph Algorithms, Sampling Edges, Query Complexity}

Keywords: Sublinear Algorithms, Graph Algorithms, Sampling Edges, Query Complexity
Collection: 1st Symposium on Simplicity in Algorithms (SOSA 2018)
Issue Date: 2018
Date of publication: 05.01.2018

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