Probe Matrix Problems: Totally Balanced Matrices

  • David B. Chandler
  • Jiong Guo
  • Ton Kloks
  • Rolf Niedermeier
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4508)


Let Open image in new window be a class of 0/1-matrices. A 0/1/ ⋆-matrix A where the ⋆s induce a submatrix is a probe matrix of  Open image in new window if the ⋆s in A can be replaced by 0s and 1s such that A becomes a member of  Open image in new window . We show that for Open image in new window being the class of totally balanced matrices, it can be decided in polynomial time whether A is a probe totally balanced matrix. On our route toward proving this main result, we also prove that so-called partitioned probe strongly chordal graphs and partitioned probe chordal bipartite graphs can be recognized in polynomial time.


Polynomial Time Bipartite Graph Chordal Graph Perfect Graph Probe Graph 
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 Berlin Heidelberg 2007

Authors and Affiliations

  • David B. Chandler
    • 1
  • Jiong Guo
    • 2
  • Ton Kloks
    • 3
  • Rolf Niedermeier
    • 2
  1. 1.Department of Mathematical Sciences, University of Delaware, Newark, Delaware 19716 
  2. 2.Institut für Informatik, Friedrich-Schiller-Universität Jena, Ernst-Abbe-Platz 2, D-07743 JenaGermany
  3. 3.School of Computing, University of Leeds, Leeds LS2 9JTUK

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