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Efficient Parallel Algorithms for Tree Accumulations

Abstract:
Accumulations are higher-order operations on structured objects; they leave the shape of an object unchanged, but replace elements of that object with accumulated information about other elements. Upwards and downwards accumulations on trees are two such operations; they form the basis of many tree algorithms. We present two EREW PRAM algorithms for computing accumulations on trees taking O(\\log n) time on O(n/\\log n) processors, which is optimal.

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Institution:
University of Oxford
Division:
MPLS
Department:
Computer Science
Role:
Author


Journal:
Science of Computer Programming More from this journal
Volume:
23
Pages:
1-18
Publication date:
1994-01-01


UUID:
uuid:f3a3375e-e92c-4070-93cf-feb8e935ce06
Local pid:
cs:2371
Deposit date:
2015-03-12

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