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Parameterized Complexity of Eulerian Deletion Problems

  • Marek Cygan
  • Dániel Marx
  • Marcin Pilipczuk
  • Michał Pilipczuk
  • Ildikó Schlotter
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6986)

Abstract

We study a family of problems where the goal is to make a graph Eulerian by a minimum number of deletions. We completely classify the parameterized complexity of various versions: undirected or directed graphs, vertex or edge deletions, with or without the requirement of connectivity, etc. Of particular interest is a randomized FPT algorithm for making an undirected graph Eulerian by deleting the minimum number of edges.

Keywords

Directed Graph Parameterized Complexity Polynomial Kernel Edge Deletion Blue Edge 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Marek Cygan
    • 1
  • Dániel Marx
    • 2
  • Marcin Pilipczuk
    • 1
  • Michał Pilipczuk
    • 1
  • Ildikó Schlotter
    • 3
  1. 1.Institute of InformaticsUniversity of WarsawPoland
  2. 2.Institut für InformatikHumboldt-Universität zu BerlinGermany
  3. 3.Department of Computer Science and Information TheoryBudapest University of Technology and EconomicsHungary

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