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.ICALP.2023.57
URN: urn:nbn:de:0030-drops-181093
URL: https://drops.dagstuhl.de/opus/volltexte/2023/18109/
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Esperet, Louis ; Harms, Nathaniel ; Zamaraev, Viktor

Optimal Adjacency Labels for Subgraphs of Cartesian Products

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LIPIcs-ICALP-2023-57.pdf (0.7 MB)


Abstract

For any hereditary graph class ℱ, we construct optimal adjacency labeling schemes for the classes of subgraphs and induced subgraphs of Cartesian products of graphs in ℱ. As a consequence, we show that, if ℱ admits efficient adjacency labels (or, equivalently, small induced-universal graphs) meeting the information-theoretic minimum, then the classes of subgraphs and induced subgraphs of Cartesian products of graphs in ℱ do too. Our proof uses ideas from randomized communication complexity and hashing, and improves upon recent results of Chepoi, Labourel, and Ratel [Journal of Graph Theory, 2020].

BibTeX - Entry

@InProceedings{esperet_et_al:LIPIcs.ICALP.2023.57,
  author =	{Esperet, Louis and Harms, Nathaniel and Zamaraev, Viktor},
  title =	{{Optimal Adjacency Labels for Subgraphs of Cartesian Products}},
  booktitle =	{50th International Colloquium on Automata, Languages, and Programming (ICALP 2023)},
  pages =	{57:1--57:11},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-278-5},
  ISSN =	{1868-8969},
  year =	{2023},
  volume =	{261},
  editor =	{Etessami, Kousha and Feige, Uriel and Puppis, Gabriele},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2023/18109},
  URN =		{urn:nbn:de:0030-drops-181093},
  doi =		{10.4230/LIPIcs.ICALP.2023.57},
  annote =	{Keywords: Adjacency labeling schemes, Cartesian product, Hypercubes}
}

Keywords: Adjacency labeling schemes, Cartesian product, Hypercubes
Collection: 50th International Colloquium on Automata, Languages, and Programming (ICALP 2023)
Issue Date: 2023
Date of publication: 05.07.2023


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