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.ISAAC.2022.1
URN: urn:nbn:de:0030-drops-172865
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2022/17286/
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Sadakane, Kunihiko

Succinct Representations of Graphs (Invited Talk)

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LIPIcs-ISAAC-2022-1.pdf (0.3 MB)

Abstract

We consider the problem of finding succinct representations of graphs, that is, encodings using asymptotically the minimum number of bits which support queries on the graphs efficiently. For a special class of graphs, there exist many theoretical results and practical implementations on ordered trees. On the other hand, for wider classes of graphs, though there are many results on counting the number of non-isomorphic graphs belonging to a graph class, there were few number of results on their succinct representations until recently.
In this talk, we review some recent results on succinct representations of graphs such as interval, permutation, circle, circular-arc, trapezoid, circle-trapezoid, k-polygon, circle-polygon, cograph, separable, ptolemaic, distance hereditary, clique width k, block, cactus, series-parallel, planar, tree width k, path, boxicity k, chordal bipartite, strongly chordal, chordal graphs, etc.

BibTeX - Entry

@InProceedings{sadakane:LIPIcs.ISAAC.2022.1,
  author =	{Sadakane, Kunihiko},
  title =	{{Succinct Representations of Graphs}},
  booktitle =	{33rd International Symposium on Algorithms and Computation (ISAAC 2022)},
  pages =	{1:1--1:1},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-258-7},
  ISSN =	{1868-8969},
  year =	{2022},
  volume =	{248},
  editor =	{Bae, Sang Won and Park, Heejin},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2022/17286},
  URN =		{urn:nbn:de:0030-drops-172865},
  doi =		{10.4230/LIPIcs.ISAAC.2022.1},
  annote =	{Keywords: Graph Enumeration, Succinct Data Structure, Compression}
}

Keywords: Graph Enumeration, Succinct Data Structure, Compression
Collection: 33rd International Symposium on Algorithms and Computation (ISAAC 2022)
Issue Date: 2022
Date of publication: 14.12.2022

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