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Parallel Algorithmic Techniques for Combinatorial Computation (1988)  (Make Corrections)  (30 citations)
David Eppstein, Zvi Galil
Automata, Languages and Programming



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Abstract: this paper and supplied many helpful comments. This research was supported in part by NSF grants DCR-85-11713, CCR-86-05353, and CCR-88-14977, and by DARPA contract N00039-84-C-0165. (Update)

Context of citations to this paper:   More

...our theoretical understanding of shared memory parallel algorithms and their complexity. PRAM A parallel random access machine (PRAM) [34, 97, 57] consists of a collection of processors that compute synchronously in parallel and that communicate with a common global random...

...wise operations are in the min plus semiring. In fact, this algorithm can compute shortest paths. The technique is well known; see [1, 7] for more details. The problem with this algorithm is that it requires too many processors; to achieve O(log n) time requires about n...

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Uniform Circuits and Exclusive Read PRAMs - Preliminary Version January   (Correct)
Thinking in Parallel: Some Basic Data-Parallel Algorithms and.. - Vishkin (2002)   (Correct)
Parallel Computing: Performance Metrics and Models - Sahni, Thanvantri (1995)   (Correct)

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0.8:   Structural Parallel Algorithmics - Vishkin (1991)   (Correct)
0.7:   Using PRAM Algorithms on a Uniform-Memory-Access.. - Bader, Illendula, .. (2001)   (Correct)
0.7:   A New Parallel Algorithm for Planarity Testing - Bader, Sreshta (2003)   (Correct)

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11:   A Survey of Parallel Algorithms for Shared-Memory Machines (context) - Karp, Ramachandran - 1990
11:   The parallel evaluation of general arithmetic expressions (context) - Brent - 1974
10:   The Design and Analysis of Computer Algorithms (context) - Aho, Hopcroft et al. - 1974

BibTeX entry:   (Update)

D. Eppstein and Z. Galil. Parallel algorithmic techniques for combinatorial computation. Ann. Rev. Comput. Sci., 3:233--283, 1988. http://citeseer.ist.psu.edu/eppstein88parallel.html   More

@inproceedings{ eppstein89parallel,
    author = "David Eppstein and Zvi Galil",
    title = "Parallel Algorithmic Techniques for Combinatorial Computation",
    booktitle = "Automata, Languages and Programming",
    pages = "304-318",
    year = "1989",
    url = "citeseer.ist.psu.edu/eppstein88parallel.html" }
Citations (may not include all citations):
1450   The Design and Analysis of Computer Algorithms (context) - Aho, Hopcroft et al. - 1974
405   Depth-first Search and Linear Graph Algorithms (context) - Tarjan - 1972  DBLP
308   Matrix Multiplication via Arithmetic Progressions (context) - Coppersmith, Winograd - 1987
201   Parallel Prefix Computation (context) - Ladner, Fischer - 1980  ACM   DBLP
200   Data Parallel Algorithms (context) - Hillis, Steele - 1986
199   A Simple Parallel Algorithm for the Maximal Independent Set .. (context) - Luby - 1985  ACM   DBLP
196   How to Emulate Shared Memory (context) - Ranade - 1987  ACM   DBLP
185   Applying Parallel Computation Algorithms in the Design of Se.. (context) - Megiddo - 1983  ACM   DBLP
174   The Parallel Evaluation of General Arithmetic Expressions (context) - Brent - 1974  ACM   DBLP
127   Principles of Compiler Design (context) - Aho, Ullman - 1977
122   Parallel Tree Contraction and its Application (context) - Miller, Reif - 1985
112   Randomized and Deterministic Simulations of PRAMs by Paralle.. (context) - Mehlhorn, Vishkin - 1984  ACM   DBLP
106   Matching is as Easy as Matrix Inversion (context) - Mulmuley, Vazirani et al. - 1987  ACM   DBLP
95   On Finding Lowest Common Ancestors: Simplification and Paral.. (context) - Schieber, Vishkin - 1987  ACM   DBLP
79   Parallelism in Comparison Problems (context) - Valiant - 1975  DBLP
75   Deterministic Coin Tossing with Applications to Optimal Para.. (context) - Cole, Vishkin - 1986
66   Data Broadcasting SIMD Computers (context) - Nassimi, Sahni - 1981
63   Algorithm for Finding Maximum Matchings in General Graphs (context) - Micali, Vazirani - 1980
57   Deterministic Parallel List Ranking (context) - Anderson, Miller - 1988
56   Relations Between Concurrent-Write Models of Parallel Comput.. (context) - Fich, Ragde et al. - 1988  ACM   DBLP
49   Approximate and Exact Parallel Scheduling with Applications .. (context) - Cole, Vishkin - 1986
47   Parallel Symmetry-Breaking in Sparse Graphs - Goldberg, Plotkin et al. - 1987
47   The Complexity of Parallel Computation (context) - Wyllie - 1979  ACM
41   Constructing a Perfect Matching is in Random NC (context) - Karp, Upfal et al. - 1985  ACM   DBLP
41   Computing an st-numbering (context) - Even, Tarjan - 1976
40   Deterministic Coin Tossing and Accelerating Cascades: Micro .. (context) - Cole, Vishkin - 1986  ACM   DBLP
38   Finding Biconnected Components and Computing Tree Functions .. (context) - Tarjan, Vishkin - 1984
34   A New Parallel Algorithm for the Maximal Independent Set Pro.. - Goldberg, Spencer - 1987
34   Non-Separable and Planar Graphs (context) - Whitney - 1932
33   A Simple Randomized Parallel Algorithm for List-Ranking (context) - Anderson, Miller  ACM   DBLP
33   The Power of Parallel Prefix (context) - Kruskal, Rudolph et al. - 1985
32   Optimal Tree Contraction in EREW Model (context) - Gazit, Miller et al.
30   Parallel Ear Decomposition Search (context) - Maon, Schieber et al. - 1986
28   An Optimal Randomized Parallel Algorithm for Finding Connect.. (context) - Gazit - 1986
26   An Improved Parallel Algorithm for Maximal Matching (context) - Israeli, Shiloach - 1986  ACM   DBLP
23   A Random NC Algorithm for Depth First Search (context) - Aggarwal, Anderson - 1987  ACM   DBLP
21   An Optimal Parallel Algorithm for Integer Sorting (context) - Reif - 1985  DBLP
18   Improved Algorithms for Graph Four-Connectivity (context) - Kanevsky, Ramachandran - 1987
18   Randomized Speed-ups in Parallel Computation (context) - Vishkin - 1984  ACM   DBLP
17   Merging and Sorting in a Parallel Computation Model (context) - Shiloach, Vishkin et al. - 1981
17   A Parallel-Design Distributed-Implementation (context) - Vishkin - 1984
17   A New Graph Triconnectivity Algorithm and Its Parallelizatio.. (context) - Miller, Ramachandran - 1987  DBLP
16   New Simulations between CRCW PRAMs (context) - Chlebus, Diks et al.
14   A Fast and Simple Randomized Parallel Algorithm for Maximal .. (context) - Israeli, Itai - 1986  ACM   DBLP
13   Parallel Computation and Conflicts in Memory Access (context) - Kucera - 1982  DBLP
12   ACM Trans (context) - Schwartz - 1980
12   Finding Euler Circuits in Logarithmic Parallel Time (context) - Awerbuch, Israeli et al. - 1984  ACM   DBLP
12   Parallel Recognition and Decomposition of Two Terminal Serie.. (context) - He, Yesha - 1987
12   Parallel Recognition of Series-Parallel Graphs - Eppstein  ACM   DBLP
11   Optimal Parallel Algorithms for Expression Tree Evaluation a.. (context) - Cole, Vishkin - 1988  ACM   DBLP
11   Simulations Among Concurrent-Write PRAMs (context) - Fich, Ragde et al. - 1988
10   Finding Euler Tours in Parallel (context) - Atallah, Vishkin - 1984
10   Probabilistic Parallel Prefix Computation - Reif
10   Parallel Algorithms for the Transitive Closure and the Conne.. (context) - Hirschberg - 1976
9   Design and Analysis of some Parallel Algorithms (context) - Schieber - 1987
7   Computing Ears and Branchings in Parallel (context) - Lovasz - 1985  ACM   DBLP
5   Asymptotic Estimation of Addition Time of a Parallel Adder (context) - Krapchenko - 1970
4   Theory of Computing (context) - Ajtai, Komlos et al. - 1983
4   Are Search and Decision Problems Computationally Equivalent (context) - Karp, Upfal et al. - 1985
4   cient Parallel Algorithm for Planarity (context) - Klein, Reif - 1986
3   cient Implementation of Shared Memory (context) - Karlin, Upfal et al. - 1986
3   Improved Processor Bounds for Algebraic and Combinatorial Pr.. (context) - Galil, Pan - 1985  DBLP
2   cient Parallel Ear Decomposition with Applications (context) - Miller, Ramachandran
1   Parallel Algebraic Computations (context) - Gathen - 1984
1   Sequential and Parallel Algorithms for Finding Maximum Match.. (context) - Galil - 1986  ACM
1   cient Parallel Strong Orientation (context) - Vishkin - 1985
1   cient Simulations between Concurrent-Read Concurrent-Write P.. (context) - Chlebus, Diks et al. - 1988
1   cient Parallel Triconnectivity in Logarithmic Time (context) - Ramachandran, Vishkin - 1988
1   A Direct Approach to the Parallel Evaluation of Rational Exp.. (context) - Snir, Barak - 1977  DBLP
1   Implementation of Simulations Memory Access Models that Forb.. (context) - Vishkin - 1983
1   A Geometric Interpretation of Graph Connectivity and its Alg.. (context) - Linial, Lovasz et al. - 1986
1   An Optimal Parallel Processor Bound Strong Orientation of an.. (context) - Tsin - 1985
1   Incomparibility in Parallel Computation (context) - Grolmusz, Ragde - 1987



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