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Maximum Weighted Induced Bipartite Subgraphs and Acyclic Subgraphs of Planar Cubic Graphs

  • Mourad Baïou
  • Francisco Barahona
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8494)

Abstract

We study the maximum node-weighted induced bipartite subgraph problem in planar graphs with maximum degree three. We show that this is polynomially solvable. It was shown in [6] that it is NP-complete if the maximum degree is four. We extend these ideas to the problem of balancing signed graphs.

We also consider maximum weighted induced acyclic subgraphs of planar directed graphs. If the maximum degree is three, it is easily shown that this is polynomially solvable. We show that for planar graphs with maximum degree four the same problem is NP-complete.

Keywords

Maximum induced bipartite subgraph balancing signed graphs maximum induced acyclic subgraph polynomial algorithm NP-completeness 

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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  • Mourad Baïou
    • 1
  • Francisco Barahona
    • 2
  1. 1.CNRS and Université Clermont IIAubière CedexFrance
  2. 2.IBM T. J. Watson research CenterYorktown HeightsUSA

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