Sparsity - an Algorithmic Perspective (Invited Paper)

Nesetril, Jaroslav

doi:10.4230/LIPIcs.ICALP.2018.2

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Sparsity - an Algorithmic Perspective (Invited Paper)

Author Jaroslav Nesetril

Part of: Volume: 45th International Colloquium on Automata, Languages, and Programming (ICALP 2018)
Part of: Series: Leibniz International Proceedings in Informatics (LIPIcs)
Part of: Conference: International Colloquium on Automata, Languages, and Programming (ICALP)
License: Creative Commons Attribution 3.0 Unported license
Publication Date: 2018-07-04

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Document Identifiers

DOI: 10.4230/LIPIcs.ICALP.2018.2
URN: urn:nbn:de:0030-drops-90062

Subject Classification

ACM Subject Classification

Theory of computation → Theory and algorithms for application domains

Keywords

sparse structures
algorithm design

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Abstract

It is a well known experience that for sparse structures one can find fast algorithm for some problems which seem to be otherwise complex. The recently developed theory of sparse classes of graphs (and structures) formalizes this. Particularly the dichotomy Nowhere vs Somewhere Dense presents a very robust tool to study and design algorithms and algorithmic metatheorems. This dichotomy can be characterized in many different ways leading tp broad applications. We survey some of the recent highlights. This is a joint work with Patrice Ossona de Mendez (EHESS Paris and Charles University Prague).

Cite As Get BibTex

Jaroslav Nesetril. Sparsity - an Algorithmic Perspective (Invited Paper). In 45th International Colloquium on Automata, Languages, and Programming (ICALP 2018). Leibniz International Proceedings in Informatics (LIPIcs), Volume 107, p. 2:1, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2018) https://doi.org/10.4230/LIPIcs.ICALP.2018.2

Author Details

Jaroslav Nesetril

Computer Science Institute, Charles University, Prague, Czech Republic

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