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Computing Directed Steiner Path Covers for Directed Co-graphs (Extended Abstract)

  • Frank GurskiEmail author
  • Stefan Hoffmann
  • Dominique Komander
  • Carolin Rehs
  • Jochen Rethmann
  • Egon Wanke
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 12011)

Abstract

We consider the Directed Steiner Path Cover problem on directed co-graphs. Given a directed graph \(G=(V(G),E(G))\) and a set \(T \subseteq V(G)\) of so-called terminal vertices, the problem is to find a minimum number of directed vertex-disjoint paths, which contain all terminal vertices and a minimum number of non-terminal vertices (Steiner vertices). The primary minimization criteria is the number of paths. We show how to compute a minimum Steiner path cover for directed co-graphs in linear time. For \(T = V(G)\), the algorithm computes a directed Hamiltonian path if such a path exists.

Keywords

Directed co-graphs Directed Steiner path cover problem 

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Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  • Frank Gurski
    • 1
    Email author
  • Stefan Hoffmann
    • 1
  • Dominique Komander
    • 1
  • Carolin Rehs
    • 1
  • Jochen Rethmann
    • 2
  • Egon Wanke
    • 1
  1. 1.Institute of Computer ScienceHeinrich Heine UniversityDüsseldorfGermany
  2. 2.Faculty of Electrical Engineering and Computer ScienceNiederrhein University of Applied SciencesKrefeldGermany

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