An NC parallel algorithm for edge-coloring series-parallel multigraphs

被引:3
|
作者
Zhou, X [1 ]
Suzuki, H [1 ]
Nishizeki, T [1 ]
机构
[1] TOHOKU UNIV,GRAD SCH INFORMAT SCI,SENDAI,MIYAGI 98077,JAPAN
关键词
D O I
10.1006/jagm.1996.0830
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
Many combinatorial problems can be efficiently solved in parallel for series-parallel multigraphs. The edge-coloring problem is one of a few combinatorial problems for which no NC parallel algorithm has been obtained for series-parallel multigraphs. This paper gives an NC parallel algorithm for the problem on series-parallel multigraphs G. It takes O(log n) time with O(Delta n/log n) processors, where n is the number of vertices and Delta is the maximum degree of G. (C) 1997 Academic Press.
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页码:359 / 374
页数:16
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