Exploring the complexity boundary between coloring and list-coloring

نویسندگان

  • Flavia Bonomo
  • Guillermo Durán
  • Javier Marenco
چکیده

Many classes of graphs where the vertex coloring problem is polynomially solvable are known, the most prominent being the class of perfect graphs. However, the list-coloring problem is NP-complete for many subclasses of perfect graphs. In this work we explore the complexity boundary between vertex coloring and list-coloring on such subclasses of perfect graphs, where the former admits polynomial-time algorithms but the latter is NP-complete. Our goal is to analyze the computational complexity of coloring problems lying “between” (from a computational complexity viewpoint) these two problems: precoloring extension, μ-coloring, and (γ, μ)coloring.

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عنوان ژورنال:
  • Annals OR

دوره 169  شماره 

صفحات  -

تاریخ انتشار 2006