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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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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
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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.
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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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Linear Complexity Hexahedral Mesh Generation - Eppstein (1996)
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