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A comparison of parallel algorithms for connected components

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John GreinerAuthors Info & Claims

SPAA '94: Proceedings of the sixth annual ACM symposium on Parallel algorithms and architectures

Pages 16 - 25

https://doi.org/10.1145/181014.181021

Published: 01 August 1994 Publication History

Abstract

This paper presents a comparison of the pragmatic aspects of some parallel algorithms for finding connected components, together with optimizations on these algorithms. The algorithms being compared are two similar algorithms by Shiloach-Vishkin [22] and Awerbuch-Shiloach [2], a randomized contraction algorithm based on algorithms by Reif [21] and Phillips [20], and a hybrid algorithm [11]. Improvements are given for the first two to improve performance significantly, although without improving their asymptotic complexity. The hybrid combines features of the others and is generally the fastest of those tested. Timings were made using NESL [4] code as executed on a Connection Machine 2 and Cray Y-MP/C90.

References

[1]

A. Agrawal, L. Nekludova, and W. Lim. A parallel O(log n) algorithm for finding connected components in planar images. Technical Report TMC-122, Thinking Machines Corporation, Feb. 1987.

[2]

B. Awerbuch and Y. Shfloach. New connectivity and MSF algorithms for Ultracomputer and P RAM. In Proceedings of the International Conference on Parallel Processing, pages 175-179, 1983.

[3]

G. E. Blelloch. Scans as primitive parallel operations. 1EEE Transactions on Computers, C-38(11):1526- 1538, Nov. 1989.

Digital Library

[4]

G. E. Blelloch. NESL: A nested data-parallel language (version 2.6). Technical Report CMU-CS-93-129, Carnegie Mellon University, Apr. 1993.

Digital Library

[5]

G. E. Blelloch and J. C. Hardwick. Class notes: Programming parallel algorithms cs 15-840b (fall 1992). Technical Report CMU-CS-93-115, Carnegie Mellon University, Feb. 1993.

Digital Library

[6]

K. W. Chong and T. W. Lam. Findings connected components in O(lognloglog n) time on EREW PRAM. In 4th A CM-SIAM Symposium on Discrete Algomthms, pages 11-20, 1993.

Digital Library

[7]

P. D. Coddington and C. F. Baillie. Parallel cluster algorithms. Nuclear Physics B, Proceedings Supplements, 20:76-79, 1991.

[8]

H. G. Evertz. Vectorized cluster search. Nuclear Physics B, Proceedings Supplements, pages 620-622, 1992.

[9]

H. Gazit. An optimal randomized parallel algorithm for finding connected components in a graph. SIAM J. Comput., 20(6), Dec. 1991.

Digital Library

[10]

J. Greiner. A comparison of data-parallel algorithms for connected components. Technical Report CMU-CS-93- 191, Carnegie Mellon University, Aug. 1993.

[11]

J. Greiner and G. E. Blelloch. Data-parallel connected components algorithms. To appear in High Performance Computing, ed. Gary Sabot.

Digital Library

[12]

S. Hambrusch and L. TeWinkel. A study of connected component labeling algorithms on the MPP. In 3rd International Conference on Supercomput,ng, volume 1, pages 477-483, May 1988.

[13]

D. S. Hirschberg, A. K. Chandra, and D. V. Sarwate. Computing connected components on parallel computers. Commun. ACM, 22(8):461-464, 1979.

Digital Library

[14]

D. B. Johnson and P. Metaxas. Connected components in O(log3/2 n) parallel time for the CREW PRAM. In 32nd IEEE Annual Symposium on Foundations of Computer Science, pages 688-697, 1991.

Digital Library

[15]

D. R. Karger, N. Nisan, and M. Parnas. Fast connected components algorithm for the EREW P RAM. In 4th Symposium on Parallel Algorithms and Architectures, pages 373-381, 1992.

Digital Library

[16]

W. Lira. Fast algorithms for labeling connected components in 2-D arrays. Technical Report TMC-125, Thinking Machines Corporation, Nov. 1987.

[17]

W. Lim, A. Agrawal, and L. Neldudova. A fast parallel algorithm for labeling connected components in image arrays. Technical Report TMC-124, Thinking Machines Corporation, Apr. 1987.

[18]

H. Mino. A vectorized algorithm for cluster formation in the Swendsen-Wang dynamics.Computer Physics Communications, 66:25-30, 1991.

[19]

P. M. Pardalos and C. S. Rentala. Computational aspects of a parallel algorithm to find the connected components of a graph. Technical Report CS-89-01, Pennsylvania State University Department of Computer Science, 1989.

[20]

C. A. Phillips. Parallel graph contraction. In Symposium on Parallel Algorithms and Architectures, pages 148-157, June 1989.

Digital Library

[21]

J. H. Reif. Optimal parallel algorithms for integer sorting and graph connectivity. Technical Report TR-08-85, Harvard University, Mar. 1985.

[22]

Y. Shiloach and U. Vishkin. An O(log n) parallel connectivity algorithm. Journal of Algorithms, :3:57-67, 1982.

Digital Library

[23]

R. H. Swendsen and J.-S. Wang. Nonuniversal critical dynamics in Monte Carlo simulations. Physical! Review Letters, 58(2):86-88, Jan. 1987.

[24]

D. Talmor. Personal communication. 1991.

[25]

J. Woo and S. Sahni. Hypercube computing: Connected components. Journal of Supercomputing, 3:209- 234, 1989.

[26]

X. D. Yang. An improved algorithm for labeling connected components in a binary image. Technical Report 89-981, Cornell University, Mar. 1989.

[27]

M. Zagha. Personal communication. Feb. 1994.

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Tench DWest EZhang VBender MChowdhury ADelayo DDellas JFarach-Colton MSeip TZhang K(2024)GraphZeppelin: How to Find Connected Components (Even When Graphs Are Dense, Dynamic, and Massive)ACM Transactions on Database Systems10.1145/364384649:3(1-31)Online publication date: 16-May-2024
https://dl.acm.org/doi/10.1145/3643846
Bhat SAbulaish M(2024)A MapReduce-Based Approach for Fast Connected Components Detection from Large-Scale NetworksBig Data10.1089/big.2022.0264Online publication date: 29-Jan-2024
https://doi.org/10.1089/big.2022.0264
Liu STarjan R(2022)Simple Concurrent Connected Components AlgorithmsACM Transactions on Parallel Computing10.1145/35435469:2(1-26)Online publication date: 1-Sep-2022
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Index Terms

A comparison of parallel algorithms for connected components
1. Mathematics of computing
  1. Discrete mathematics
    1. Graph theory
2. Theory of computation
  1. Logic
  2. Models of computation

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Published In

cover image ACM Conferences

SPAA '94: Proceedings of the sixth annual ACM symposium on Parallel algorithms and architectures

August 1994

374 pages

ISBN:0897916719

DOI:10.1145/181014

Chairmen:
Lawrence Snyder
Univ. of Washington, Seattle
,
Charles E. Leiserson
Massachusetts Institute of Technology, Cambridge

Copyright © 1994 ACM.

Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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European Comp Soc: European Computer Society
SIGACT: ACM Special Interest Group on Algorithms and Computation Theory
SIGARCH: ACM Special Interest Group on Computer Architecture

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Association for Computing Machinery

New York, NY, United States

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Published: 01 August 1994

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6SPAA94: 6th Annual ACM Symposium on Parallel Algorithms and Architectures

June 27 - 29, 1994

New Jersey, Cape May, USA

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Overall Acceptance Rate 447 of 1,461 submissions, 31%

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Cited By

Tench DWest EZhang VBender MChowdhury ADelayo DDellas JFarach-Colton MSeip TZhang K(2024)GraphZeppelin: How to Find Connected Components (Even When Graphs Are Dense, Dynamic, and Massive)ACM Transactions on Database Systems10.1145/364384649:3(1-31)Online publication date: 16-May-2024
https://dl.acm.org/doi/10.1145/3643846
Bhat SAbulaish M(2024)A MapReduce-Based Approach for Fast Connected Components Detection from Large-Scale NetworksBig Data10.1089/big.2022.0264Online publication date: 29-Jan-2024
https://doi.org/10.1089/big.2022.0264
Liu STarjan R(2022)Simple Concurrent Connected Components AlgorithmsACM Transactions on Parallel Computing10.1145/35435469:2(1-26)Online publication date: 1-Sep-2022
https://dl.acm.org/doi/10.1145/3543546
Tench DWest EZhang VBender MChowdhury ADellas JFarach-Colton MSeip TZhang KIves ZBonifati AEl Abbadi A(2022)GraphZeppelin: Storage-Friendly Sketching for Connected Components on Dynamic Graph StreamsProceedings of the 2022 International Conference on Management of Data10.1145/3514221.3526146(325-339)Online publication date: 10-Jun-2022
https://dl.acm.org/doi/10.1145/3514221.3526146
Lamm SSanders P(2022)Communication-efficient Massively Distributed Connected Components2022 IEEE International Parallel and Distributed Processing Symposium (IPDPS)10.1109/IPDPS53621.2022.00037(302-312)Online publication date: May-2022
https://doi.org/10.1109/IPDPS53621.2022.00037
Zou KXie XLi QKong D(2022)GX-Plug: a Middleware for Plugging Accelerators to Distributed Graph Processing2022 IEEE 38th International Conference on Data Engineering (ICDE)10.1109/ICDE53745.2022.00246(2682-2694)Online publication date: May-2022
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Abdolazimi RHeidari MEsmaeilzadeh ANaderi H(2022)MapReduce Preprocess of Big Graphs for Rapid Connected Components Detection2022 IEEE 12th Annual Computing and Communication Workshop and Conference (CCWC)10.1109/CCWC54503.2022.9720798(0112-0118)Online publication date: 26-Jan-2022
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Dhulipala LHong CShun J(2021)ConnectItProceedings of the VLDB Endowment10.14778/3436905.343692314:4(653-667)Online publication date: 22-Feb-2021
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Hong CDhulipala LShun JSarkar VKim H(2020)Exploring the Design Space of Static and Incremental Graph Connectivity Algorithms on GPUsProceedings of the ACM International Conference on Parallel Architectures and Compilation Techniques10.1145/3410463.3414657(55-69)Online publication date: 30-Sep-2020
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Liu STarjan RZhong PScheideler CSpear M(2020)Connected Components on a PRAM in Log Diameter TimeProceedings of the 32nd ACM Symposium on Parallelism in Algorithms and Architectures10.1145/3350755.3400249(359-369)Online publication date: 6-Jul-2020
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