A short proof of the NP-completeness of minimum sum interval coloring

  • Authors:
  • DáNiel Marx

  • Affiliations:
  • Department of Computer Science and Information Theory, Budapest University of Technology and Economics, Budapest 1521, Hungary

  • Venue:
  • Operations Research Letters
  • Year:
  • 2005

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Abstract

In the minimum sum coloring problem we have to assign positive integers to the vertices of a graph in such a way that neighbors receive different numbers and the sum of the numbers is minimized. Szkalicki has shown that minimum sum coloring is NP-hard for interval graphs. Here we present a simpler proof of this result.