.png){kind=icon}
Return
Parallel algorithms for tree accumulations
.png){kind=icon}
PRE
AI
DOI：10.1016/j.jpdc.2004.09.001.png)
.png){kind=icon}
Original request for help.png){kind=icon}
Share.png){kind=icon}
Save
Abstract
En 中文
Accumulations are abstract operations on trees useful in many applications involving trees. The upward accumulation problem is to aggregate data in the subtree under each node of the tree. The downward accumulation problem is to aggregate data at all the ancestors of each node. In this paper, we present parallel algorithms for these problems on coarse-grained distributed memory parallel computers. We first show that when the accumulation function and the set of possible values at nodes of the tree form an Abelian (commutative) group, this problem can be solved by a remarkably simple algorithm-Upward accumulation takes O ( n/p + taup + mun/p) time, where n is the number of nodes in the tree, p is the number of processors, T is the communication latency and p is the transfer time per unit message size. Downward accumulation takes O (n/p + (tau + mu) log P) time, making it very communication efficient. For the general case, p n we present upward and downward accumulation algorithms that run in O ( n/p log n + taup log n + mun/p log n) time. (C) 2004 Elsevier Inc. All rights reserved.
Keywords:
upward accumulation
downward accumulation
tree contraction
parallel prefix
AI Summary
Key information extracted from the uploaded paper, including a brief overview, abstract, background, key highlights, visual analysis, and future outlook.
Journal
IF:
4
Papers:
3.8K
Citations:
4.8K
Organization
No organization information available
Cited Papers
.png){kind=icon}
ShareSave
ShareSaveShareSaveShareSaveShareSaveShareSave
no more
no more