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Erschienen in:
1994 | ReviewPaper | Buchkapitel
Edge-coloring and f-coloring for various classes of graphs
verfasst von : Xiao Zhou, Takao Nishizeki
Erschienen in: Algorithms and Computation
Verlag: Springer Berlin Heidelberg
Enthalten in: Professional Book Archive
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In an ordinary edge-coloring of a graph G=(V, E) each color appears at each vertex v ε V at most once. An f-coloring is a generalized coloring in which each color appears at each vertex v ε V at most f(v) times. This paper gives efficient sequential and parallel algorithms which find ordinary edge-colorings and f-colorings for various classes of graphs such as bipartite graphs, planar graphs, graphs of fixed genus, partial k-trees, s-degenerate graphs, graphs of fixed arboricity etc.