An introduction to parallel algorithms
Citations
Cites background or methods from "An introduction to parallel algorit..."
...4 The PR A M Biconnected Component A lgorithm Since all of the existing EM biconnected component algorithms simulate the correspond ing PRAM algorithm, we shall give a brief description of the PRAM algorithm, which is due to Tarjan and Vishkin [23, 40]....
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...For any two edges e and g, eR'cg if and only if one of the following conditions holds (the parent of a vertex u is denoted by p(u) and the root of T is denoted by r ) : [23]...
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...On Line 5: A list L of edges is created to determine the graph G' as follows [23]: By condition 1 of R'c, for each edge g = (u,v) E G — T such that v < u, put the pair (e, g) in L, where e = (u,p(u))....
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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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