Exploring the complexity boundary between coloring and list-coloring

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,

• Type: Journal
• Year: 2006
• Where: ENDM
• Authors: Flavia Bonomo, Guillermo Durán, Javier Marenco
• Keywords: Computational Complexity, ENDM 2006, Many Classes, Perfect Graphs