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Approximation Schemes for Bounded Distance Problems on Fractionally Treewidth-Fragile Graphs

Authors Zdeněk Dvořák , Abhiruk Lahiri

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Author Details

Zdeněk Dvořák
  • Charles University, Prague, Czech Republic
Abhiruk Lahiri
  • Ariel University, Israel

Funding

  • Dvořák, Zdeněk: Supported by the ERC-CZ project LL2005 (Algorithms and complexity within and beyond bounded expansion) of the Ministry of Education of Czech Republic.
  • Lahiri, Abhiruk: Supported by ISF grant 822/18 and Ariel University Post-doctoral fellowship.

Acknowledgements

The second author wish to thank the Caesarea Rothschild Institute and the Department of Computer Science, University of Haifa, for providing its facilities for his research activities.

Cite As Get BibTex

Zdeněk Dvořák and Abhiruk Lahiri. Approximation Schemes for Bounded Distance Problems on Fractionally Treewidth-Fragile Graphs. In 29th Annual European Symposium on Algorithms (ESA 2021). Leibniz International Proceedings in Informatics (LIPIcs), Volume 204, pp. 40:1-40:10, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2021) https://doi.org/10.4230/LIPIcs.ESA.2021.40

Abstract

We give polynomial-time approximation schemes for monotone maximization problems expressible in terms of distances (up to a fixed upper bound) and efficiently solvable on graphs of bounded treewidth. These schemes apply in all fractionally treewidth-fragile graph classes, a property which is true for many natural graph classes with sublinear separators. We also provide quasipolynomial-time approximation schemes for these problems in all classes with sublinear separators.

Subject Classification

ACM Subject Classification
  • Theory of computation → Approximation algorithms analysis
Keywords
  • approximation
  • sublinear separators

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