EFFICIENT PARALLEL ALGORITHMS FOR TRE ACCUMULATIONS
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...
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Format: | Journal article |
Language: | English |
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1994
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author | Gibbons, J Cai, W Skillicorn, D |
author_facet | Gibbons, J Cai, W Skillicorn, D |
author_sort | Gibbons, J |
collection | OXFORD |
description | 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. © 1994. |
first_indexed | 2024-03-06T19:24:51Z |
format | Journal article |
id | oxford-uuid:1b5b5825-502e-4ec9-b220-28e65906ee44 |
institution | University of Oxford |
language | English |
last_indexed | 2024-03-06T19:24:51Z |
publishDate | 1994 |
record_format | dspace |
spelling | oxford-uuid:1b5b5825-502e-4ec9-b220-28e65906ee442022-03-26T10:59:57ZEFFICIENT PARALLEL ALGORITHMS FOR TRE ACCUMULATIONSJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:1b5b5825-502e-4ec9-b220-28e65906ee44EnglishSymplectic Elements at Oxford1994Gibbons, JCai, WSkillicorn, DAccumulations 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. © 1994. |
spellingShingle | Gibbons, J Cai, W Skillicorn, D EFFICIENT PARALLEL ALGORITHMS FOR TRE ACCUMULATIONS |
title | EFFICIENT PARALLEL ALGORITHMS FOR TRE ACCUMULATIONS |
title_full | EFFICIENT PARALLEL ALGORITHMS FOR TRE ACCUMULATIONS |
title_fullStr | EFFICIENT PARALLEL ALGORITHMS FOR TRE ACCUMULATIONS |
title_full_unstemmed | EFFICIENT PARALLEL ALGORITHMS FOR TRE ACCUMULATIONS |
title_short | EFFICIENT PARALLEL ALGORITHMS FOR TRE ACCUMULATIONS |
title_sort | efficient parallel algorithms for tre accumulations |
work_keys_str_mv | AT gibbonsj efficientparallelalgorithmsfortreaccumulations AT caiw efficientparallelalgorithmsfortreaccumulations AT skillicornd efficientparallelalgorithmsfortreaccumulations |