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Graphs with small chromatic numbers are easy to color - MaRDI portal

Graphs with small chromatic numbers are easy to color (Q1116349)

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scientific article; zbMATH DE number 4088949
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English
Graphs with small chromatic numbers are easy to color
scientific article; zbMATH DE number 4088949

    Statements

    Graphs with small chromatic numbers are easy to color (English)
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    1989
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    A polynomial time graph coloring algorithm is presented with the following property: there is a constant \(c>0\) such that if \(k=k(n)\) is a function such that \(k\leq \sqrt{c n/\log n}\), then the algorithm colors optimally almost all graphs with n vertices and chromatic number less than or equal to k.
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    probabilistic analysis of algorithms
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    polynomial time algorithm
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    graph coloring
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    chromatic number
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