PARALLEL COMPLEXITY OF MAXIMAL PATH COVER PROBLEMS FOR DIRECTED ACYCLIC GRAPHS

被引:0
|
作者
YAMAGAMI, K
YAKU, T
UEMURA, K
机构
[1] TOKYO DENKI UNIV,DEPT INFORMAT SCI,TOKYO,SAITAMA 350,JAPAN
[2] TSURU UNIV,TSURU 402,JAPAN
关键词
A PATH COVER; GRAPH ALGORITHM; PARALLEL COMPLEXITY; ALTERNATE GRAPH; BIPARTITE GRAPH;
D O I
暂无
中图分类号
TP3 [计算技术、计算机技术];
学科分类号
0812 ;
摘要
The problem of covering an acyclic directed graph (DAG) with node disjoint paths is discussed. Such a ''path cover'' is called ''maximal'' if the number of paths is minimum. The parallel computational complexity for the problem of finding a maximal path cover for a DAG [3-7, 9, 13, 17] is studied and the problem is shown to belong to class NC when either in-degree or out-degree is at most 2. From this result it can be shown that the maximal bipartite matching problem is also in class NC when the degree of one of the node sets is at most 2.
引用
收藏
页码:23 / 32
页数:10
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