Distance constrained labelings of graphs of bounded treewidth

  • Authors:
  • Jiří Fiala;Petr A. Golovach;Jan Kratochvíl

  • Affiliations:
  • Inst. for Theoretical Computer Science and Dept. of Applied Mathematics, Faculty of Mathematics and Physics, Charles University, Prague, Czech Republic;Matematicheskii Fakultet, Syktyvkar State University, Syktyvkar, Russia;Inst. for Theoretical Computer Science and Dept. of Applied Mathematics, Faculty of Mathematics and Physics, Charles University, Prague, Czech Republic

  • Venue:
  • ICALP'05 Proceedings of the 32nd international conference on Automata, Languages and Programming
  • Year:
  • 2005

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Abstract

We prove that the L(2,1)-labeling problem is NP-complete for graphs of treewidth two, thus adding a natural and well studied problem to the short list of problems whose computational complexity separates treewidth one from treewidth two. We prove similar results for other variants of the distance constrained graph labeling problem.