Exploring the complexity boundary between coloring and list-coloring

被引:0
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作者
Flavia Bonomo
Guillermo Durán
Javier Marenco
机构
[1] Universidad de Buenos Aires,CONICET and Departamento de Computación, Facultad de Ciencias Exactas y Naturales
[2] Universidad de Chile,Departamento de Ingeniería Industrial, Facultad de Ciencias Físicas y Matemáticas
[3] Universidad de Buenos Aires,CONICET and Departamento de Matemática, Facultad de Ciencias Exactas y Naturales
[4] Universidad Nacional de General Sarmiento,Instituto de Ciencias
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关键词
Coloring; Computational complexity; List-coloring;
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摘要
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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页码:3 / 16
页数:13
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