Bounded Max-colorings of Graphs

  • Evripidis Bampis
  • Alexander Kononov
  • Giorgio Lucarelli
  • Ioannis Milis
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6506)


In a bounded max-coloring of a vertex/edge weighted graph, each color class is of cardinality at most b and of weight equal to the weight of the heaviest vertex/edge in this class. The bounded max-vertex/edge-coloring problems ask for such a coloring minimizing the sum of all color classes’ weights. These problems generalize the well known max-coloring problems by taking into account the number of available resources (colors) in practical applications. In this paper we present complexity results and approximation algorithms for the bounded max-coloring problems on general graphs, bipartite graphs and trees.


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© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Evripidis Bampis
    • 1
  • Alexander Kononov
    • 2
  • Giorgio Lucarelli
    • 3
  • Ioannis Milis
    • 4
  1. 1.LIP6Université Pierre et Marie CurieFrance
  2. 2.Sobolev Institute of MathematicsNovosibirskRussia
  3. 3.LAMSADEUniversité Paris-Dauphine and CNRS FRE 3234France
  4. 4.Dept. of InformaticsAthens University of Economics and BusinessGreece

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