Schloss Dagstuhl - Leibniz-Zentrum für Informatik GmbH Schloss Dagstuhl - Leibniz-Zentrum für Informatik GmbH scholarly article en Cordasco, Gennaro; Gargano, Luisa; Rescigno, Adele A. https://www.dagstuhl.de/lipics License: Creative Commons Attribution 3.0 Unported license (CC-BY 3.0)
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URN: urn:nbn:de:0030-drops-127823
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Speeding up Networks Mining via Neighborhood Diversity

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Abstract

Parameterized complexity was classically used to efficiently solve NP-hard problems for small values of a fixed parameter. Then it has also been used as a tool to speed up algorithms for tractable problems. Following this line of research, we design algorithms parameterized by neighborhood diversity (nd) for several graph theoretic problems in P (e.g., Maximum Matching, Triangle counting and listing, Girth and Global minimum vertex cut). Such problems are known to admit algorithms parameterized by modular-width (mw) and consequently - being the nd a "special case" of mw - by nd. However, the proposed novel algorithms allow to improve the computational complexity from a time O(f(mw)⋅ n +m) - where n and m denote, respectively, the number of vertices and edges in the input graph - which is multiplicative in n to a time O(g(nd)+n +m) which is additive only in the size of the input.

BibTeX - Entry

@InProceedings{cordasco_et_al:LIPIcs:2020:12782,
  author =	{Gennaro Cordasco and Luisa Gargano and Adele A. Rescigno},
  title =	{{Speeding up Networks Mining via Neighborhood Diversity}},
  booktitle =	{10th International Conference on Fun with Algorithms (FUN 2021)},
  pages =	{21:1--21:12},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-145-0},
  ISSN =	{1868-8969},
  year =	{2020},
  volume =	{157},
  editor =	{Martin Farach-Colton and Giuseppe Prencipe and Ryuhei Uehara},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2020/12782},
  URN =		{urn:nbn:de:0030-drops-127823},
  doi =		{10.4230/LIPIcs.FUN.2021.21},
  annote =	{Keywords: Parameterized Complexity, Neighborhood Diversity, Maximum Matching, Triangle Counting, Girth, Global minimum vertex cut}
}

Keywords: Parameterized Complexity, Neighborhood Diversity, Maximum Matching, Triangle Counting, Girth, Global minimum vertex cut
Seminar: 10th International Conference on Fun with Algorithms (FUN 2021)
Issue date: 2020
Date of publication: 16.09.2020


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