Coloring interval graphs with first-fit

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چکیده

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First-fit coloring on interval graphs has performance ratio at least 5

First-fit is the online graph coloring algorithm that considers vertices one at a time in some order and assigns each vertex the least positive integer not used already on a neighbor. The maximum number of colors used by first-fit on graph G over all vertex orders is denoted χFF (G). The exact value of R := supG χFF (G) ω(G) over interval graphs G is unknown. Pemmaraju, Raman, and Varadarajan (...

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ژورنال

عنوان ژورنال: Discrete Mathematics

سال: 1995

ISSN: 0012-365X

DOI: 10.1016/0012-365x(94)00285-q