License: Creative Commons Attribution 4.0 International license (CC BY 4.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.ICDT.2023.4
URN: urn:nbn:de:0030-drops-177460
URL: https://drops.dagstuhl.de/opus/volltexte/2023/17746/
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Deng, Shiyuan ; Silvestri, Francesco ; Tao, Yufei

Enumerating Subgraphs of Constant Sizes in External Memory

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LIPIcs-ICDT-2023-4.pdf (0.9 MB)

Abstract

We present an indivisible I/O-efficient algorithm for subgraph enumeration, where the objective is to list all the subgraphs of a massive graph G : = (V, E) that are isomorphic to a pattern graph Q having k = O(1) vertices. Our algorithm performs O((|E|^{k/2})/(M^{{k/2}-1} B) log_{M/B}(|E|/B) + (|E|^ρ)/(M^{ρ-1} B) I/Os with high probability, where ρ is the fractional edge covering number of Q (it always holds ρ ≥ k/2, regardless of Q), M is the number of words in (internal) memory, and B is the number of words in a disk block. Our solution is optimal in the class of indivisible algorithms for all pattern graphs with ρ > k/2. When ρ = k/2, our algorithm is still optimal as long as M/B ≥ (|E|/B)^ε for any constant ε > 0.

BibTeX - Entry

@InProceedings{deng_et_al:LIPIcs.ICDT.2023.4,
  author =	{Deng, Shiyuan and Silvestri, Francesco and Tao, Yufei},
  title =	{{Enumerating Subgraphs of Constant Sizes in External Memory}},
  booktitle =	{26th International Conference on Database Theory (ICDT 2023)},
  pages =	{4:1--4:20},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-270-9},
  ISSN =	{1868-8969},
  year =	{2023},
  volume =	{255},
  editor =	{Geerts, Floris and Vandevoort, Brecht},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2023/17746},
  URN =		{urn:nbn:de:0030-drops-177460},
  doi =		{10.4230/LIPIcs.ICDT.2023.4},
  annote =	{Keywords: Subgraph Enumeration, Conjunctive Queries, External Memory, Algorithms}
}

Keywords: Subgraph Enumeration, Conjunctive Queries, External Memory, Algorithms
Collection: 26th International Conference on Database Theory (ICDT 2023)
Issue Date: 2023
Date of publication: 17.03.2023

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