The hardness of intervalizing four colored caterpillars

نویسندگان

  • Carme Àlvarez
  • Josep Díaz
  • Maria J. Serna
چکیده

The problem of Intervalizing Colored Graphs (ICG) has received a lot of attention due to their use as a model for DNA physical mapping with ambiguous data. If k is the number of colors, the problem is known to be NP-Complete for general graphs for k 4 and has polynomial time algorithms for k = 2 and k = 3. In this paper we show that the ICG problem is NP-complete when the graph is a caterpillar tree, colored with k 4 colors, strengthen the cases for which the problem remains diicult.

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عنوان ژورنال:
  • Discrete Mathematics

دوره 235  شماره 

صفحات  -

تاریخ انتشار 2001