Session 10

Algorithms and Computations

Volume 1004 of the series Lecture Notes in Computer Science pp 332-341


Algorithms for finding f-colorings of partial k-trees

An extended abstract
  • Xiao ZhouAffiliated withEducation Center for Information Processing, Tohoku University
  • , Takao NishizekiAffiliated withGraduate School of Information Sciences, Tohoku University

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In an ordinary edge-coloring of a graph G=(V, E) each color appears at each vertex v ∈ V at most once. An f-coloring is a generalized edge-coloring in which each color appears at each vertex v ∈ V at most f(v) times, where f(v) is a positive integer assigned to v. This paper gives a linear-time sequential algorithm and an optimal parallel algorithm which find an f-coloring of a givenpartial k-tree with the minimum number of colors.