An introduction to parallel algorithms
Citations
11 citations
Cites methods from "An introduction to parallel algorit..."
...The union-find data structure is updated by pointer jumping, which is similar to the find operation in disjoint-set union-find [11, 12]....
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...Multiple updates to a label are resolved as in PRAM models such as by using a reduction operation to combine the updates into a single update [11]....
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11 citations
11 citations
11 citations
11 citations
Cites methods from "An introduction to parallel algorit..."
...Using the QRQW-PRAM [ 12 ] model for analysis, the queue length in terms of number of local andremote threads at any processor along the critical path goes up to at most OðnÞ threads since there are no synchronization points between the iterations....
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References
2,895 citations
"An introduction to parallel algorit..." refers background in this paper
...Multiprocessorbased computers have been around for decades and various types of computer architectures [2] have been implemented in hardware throughout the years with different types of advantages/performance gains depending on the application....
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...Every location in the array represents a node of the tree: T [1] is the root, with children at T [2] and T [3]....
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...The text by [2] is a good start as it contains a comprehensive description of algorithms and different architecture topologies for the network model (tree, hypercube, mesh, and butterfly)....
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1,410 citations
"An introduction to parallel algorit..." refers background in this paper
...Parallel architectures have been described in several books (see, for example, [18, 29])....
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1,000 citations
"An introduction to parallel algorit..." refers background in this paper
...Recent work on the mapping of PRAM algorithms on bounded-degree networks is described in [3,13,14, 20, 25], Our presentation on the communication complexity of the matrix-multiplication problem in the sharedmemory model is taken from [1], Data-parallel algorithms are described in [15]....
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951 citations
"An introduction to parallel algorit..." refers background in this paper
...Rigorous descriptions of shared-memory models were introduced later in [11,12]....
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864 citations
"An introduction to parallel algorit..." refers methods in this paper
...The WT scheduling principle is derived from a theorem in [7], In the literature, this principle is commonly referred to as Brent's theorem or Brent's scheduling principle....
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