EFFICIENT PARALLEL GRAPH ALGORITHMS BASED ON OPEN EAR DECOMPOSITION

被引:0
|
作者
IBARRA, L [1 ]
RICHARDS, D [1 ]
机构
[1] NATL SCI FDN, DIV COMP & COMPUTAT RES, WASHINGTON, DC 20550 USA
基金
美国国家航空航天局;
关键词
PARALLEL GRAPH ALGORITHM; OPEN EAR DECOMPOSITION; PRAM MODEL; TIME ANALYSIS;
D O I
10.1016/0167-8191(93)90071-R
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
We present a parallel algorithm for a novel problem in a graph's open ear decomposition. The algorithm runs in O(log n) time with n processors on a CREW PRAM, where n is the number of vertices and m is the number of edges in the graph. We apply this result in parallel algorithms to solve the two vertex disjoint s-t paths problem in O(log n) time with n + m processors and the maximal path problem in planar graphs in O(log2 n) time with O(n) processors. Both of these algorithms run on the CRCW PRAM.
引用
收藏
页码:873 / 886
页数:14
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