An introduction to parallel algorithms
Citations
22 citations
22 citations
22 citations
22 citations
22 citations
Cites background or methods from "An introduction to parallel algorit..."
...This is achieved with an algorithm for summing n terms in parallel (where sum is replaced with multiplication) [19]....
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...We also show how to derive parallel implementations for the setup algorithm, assuming O(n/ logn) processors in the exclusive-read-exclusive-write (EREW) model [19]....
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...Unlike existing hash-based authentication schemes [10, 16, 23], our authentication schemes support fully parallelizable set-up: They can be constructed in O(logn) parallel time on O(n/ logn) processors in the EREW model, thus maintaining the benefits of known parallel algorithms for (non-authenticated) suffix trees [19, 22]....
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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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