有界度边着色部分k树的最优并行算法

Proceedings of the International Symposium on Parallel Architectures, Algorithms and Networks (ISPAN) Pub Date : 1994-12-14 DOI:10.1109/ISPAN.1994.367150

Xiaoping Zhou, Takao Nishizeki

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引用次数: 9

摘要

许多组合问题可以有效地求解偏k树(树宽以k为界的图)。边着色问题是众所周知的组合问题之一，目前还没有针对偏k树的NC算法。本文给出了当k和最大度/spl Delta/有界时，用最小颜色数求任意给定的偏k树边着色的最优第一个NC并行算法。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Optimal parallel algorithm for edge-coloring partial k-trees with bounded degrees

Many combinatorial problems can be efficiently solved for partial k-trees (graphs of treewidth bounded by k). The edge-coloring problem is one of the well-known combinatorial problems for which no NC algorithms have been obtained for partial k-trees. This paper gives an optimal and first NC parallel algorithm to find an edge-coloring of any given partial k-tree using a minimum number of colors if k and the maximum degree /spl Delta/ are bounded.<>

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Proceedings of the International Symposium on Parallel Architectures, Algorithms and Networks (ISPAN)

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