Cardinality constrained and multicriteria (multi)cut problems

  • Authors:
  • C. Bentz;M. -C. Costa;N. Derhy;F. Roupin

  • Affiliations:
  • CEDRIC-CNAM, 292 Rue Saint-Martin, 75141 Paris Cedex 03, France;CEDRIC-CNAM, 292 Rue Saint-Martin, 75141 Paris Cedex 03, France;CEDRIC-CNAM, 292 Rue Saint-Martin, 75141 Paris Cedex 03, France;CEDRIC-CNAM, 292 Rue Saint-Martin, 75141 Paris Cedex 03, France

  • Venue:
  • Journal of Discrete Algorithms
  • Year:
  • 2009

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Abstract

In this paper, we consider multicriteria and cardinality constrained multicut problems. Let G be a graph where each edge is weighted by R positive costs corresponding to R criteria and consider k source-sink pairs of vertices of G and R integers B"1,...,B"R. The problem R-CriMultiCut consists in finding a set of edges whose removal leaves no path between the ith source and the ith sink for each i, and whose cost, with respect to the jth criterion, is at most B"j, for 1=