Efficient Parallel Algorithms for Tree 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...
| Main Authors: | , , |
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| 格式: | Journal article |
| 出版: |
1994
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| 總結: | 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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