The complexity of bottleneck labeled graph problems

  • Authors:
  • Refael Hassin;Jérǒme Monnot;Danny Segev

  • Affiliations:
  • School of Mathematical Sciences, Tel-Aviv University, Tel-Aviv, Israel;CNRS, LAMSADE, Université Paris-Dauphine, Tassigny, Paris Cedex 16, France;School of Mathematical Sciences, Tel-Aviv University, Tel-Aviv, Israel

  • Venue:
  • WG'07 Proceedings of the 33rd international conference on Graph-theoretic concepts in computer science
  • Year:
  • 2007

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Abstract

We present hardness results, approximation heuristics, and exact algorithms for bottleneck labeled optimization problems arising in the context of graph theory. This long-established model partitions the set of edges into classes, each of which is identified by a unique color. The generic objective is to construct a subgraph of prescribed structure (such as that of being an s-t path, a spanning tree, or a perfect matching) while trying to avoid over-picking or under-picking edges from any given color.