Multicoloring trees

Magnús M. Halldórsson, Guy Kortsarz, Andrzej Proskurowski, Ravit Salman, Hadas Shachnai, Jan Arne Telle

Research output: Contribution to journalArticlepeer-review


Scheduling jobs with pairwise conflicts is modeled by the graph multicoloring problem. It occurs in two versions: in the preemptive case, each vertex may get any set of colors, while in the non-preemptive case, the set of colors assigned to each vertex has to be contiguous. We study these versions of the multicoloring problem on trees, under the sum-of-completion-times objective. In particular, we give a quadratic algorithm for the non-preemptive case, and a faster algorithm in the case that all job lengths are short, while we present a polynomial-time approximation scheme for the preemptive case.

Original languageEnglish
Pages (from-to)113-129
Number of pages17
JournalInformation and Computation
Issue number2
StatePublished - 29 Jan 2003
Externally publishedYes


  • Approximation algorithms
  • Multicoloring
  • Resource allocation
  • Scheduling


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