Faster Optimal Parallel Prefix Sums And List Ranking
Faster Optimal Parallel Prefix Sums And List Ranking
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The selection of the ruling set implies that each local maximum or local minimum v is either selected or has a neighbor that is selected. Therefore, v must have been deleted and cannot be included in this input graph).
Fact 6: It is easy to deduce that the output graph consists of simple paths each comprising at most loglog n vertices. (Again, we assume for simplicity that loglogn is an integer).
The vertices that were selected form a loglogn-ruling set. We have shown: Theorem 3. 1. 2: A loglog...n-ruling set can be obtained in O(l) time using n processors.
Ultracomputer Note 117 Page 12 If our original input is a directed path of n vertices, rather than a ring, we obtain a loglogn- ruling set by applying the basic step 2 times, as above.
Remark 3. 1. 1: It is interesting to mention that [CV-86a] show how to apply repeatedly the basic step to obtain a 2-ruling set in 0(\og*n) time using n processors.
3. 2. The New 2-ruling Set Algorithm The algorithm presented in this section is based on a few changes to the optimal loga- rithmic time 2-ruling set algorithm of Section 2.
What to read after Faster Optimal Parallel Prefix Sums And List Ranking?
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To quickly assess the difficulty of the text, read a short excerpt:
The selection of the ruling set implies that each local maximum or local minimum v is either selected or has a neighbor that is selected. Therefore, v must have been deleted and cannot be included in this input graph).
Fact 6: It is easy to deduce that the output graph consists of simple paths each comprising at most loglog n vertices. (Again, we assume for simplicity that loglogn is an integer).
The vertices that were selected form a loglogn-ruling set. We have shown: Theorem 3. 1. 2: A loglog...n-ruling set can be obtained in O(l) time using n processors.
Ultracomputer Note 117 Page 12 If our original input is a directed path of n vertices, rather than a ring, we obtain a loglogn- ruling set by applying the basic step 2 times, as above.
Remark 3. 1. 1: It is interesting to mention that [CV-86a] show how to apply repeatedly the basic step to obtain a 2-ruling set in 0(\og*n) time using n processors.
3. 2. The New 2-ruling Set Algorithm The algorithm presented in this section is based on a few changes to the optimal loga- rithmic time 2-ruling set algorithm of Section 2.
What to read after Faster Optimal Parallel Prefix Sums And List Ranking?
You can find similar books in the "Read Also" column, or choose other free books by Richard Cole to read onlineMoreLess
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