The minimum feasible tileset problem

Yann Disser, Stefan Kratsch, Manuel Sorge

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Scopus citations


We consider the Minimum Feasible Tileset problem: Given a set of symbols and subsets of these symbols (scenarios), find a smallest possible number of pairs of symbols (tiles) such that each scenario can be formed by selecting at most one symbol from each tile. We show that this problem is NP-complete even if each scenario contains at most three symbols. Ourmain result is a 4/3-approximation algorithm for the general case. In addition, we show that the Minimum Feasible Tileset problem is fixed-parameter tractable both when parameterized with the number of scenarios and with the number of symbols.

Original languageEnglish
Title of host publicationApproximation and Online Algorithms - 12th International Workshop, WAOA 2014, Revised Selected Papers
EditorsOla Svensson, Evripidis Bampis
PublisherSpringer Verlag
Number of pages12
ISBN (Print)9783319182629
StatePublished - 1 Jan 2015
Externally publishedYes
Event12th International Workshop on Approximation and Online Algorithms, WAOA 2014 - Wroclaw, Poland
Duration: 11 Sep 201412 Sep 2014

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349


Conference12th International Workshop on Approximation and Online Algorithms, WAOA 2014

ASJC Scopus subject areas

  • Theoretical Computer Science
  • General Computer Science


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