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Finding minimum spanning forests in logarithmic time and linear work using random sampling
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Source ACM Symposium on Parallel Algorithms and Architectures archive
Proceedings of the eighth annual ACM symposium on Parallel algorithms and architectures table of contents
Padua, Italy
Pages: 243 - 250  
Year of Publication: 1996
ISBN:0-89791-809-6
Authors
Richard Cole  New York University
Philip N. Klein  Brown University
Robert E. Tarjan  Department of Computer Science, Princeton University, Princeton, NJ and NEC Research Institute, Princeton, NJ
Sponsors
SIGACT: ACM Special Interest Group on Algorithms and Computation Theory
SIGARCH: ACM Special Interest Group on Computer Architecture
Publisher
ACM  New York, NY, USA
Bibliometrics
Downloads (6 Weeks): 5,   Downloads (12 Months): 35,   Citation Count: 9
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REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
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O. Borfivka. "O jist6m probl6mu minim#ln#m, Prdca Moravsk# P#rodov#deck# Spoledao,ti 3, 1926, pp. 37-58. (In Czech.)
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R. Cole, P. N. Klein, and R. E. Tarjan, "A linear-work parallel algorithm for finding minimum spanning trees," 6th Annual ACM Symposium on Parallel Algorithms and Architectures (1994), pp. 11-15.
 
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R. Cole and U. Vishkin, "Approximate and exact parallel scheduling with applications to list, tree, and graph problems," Proc. 27th Annual IEEE Syrup. on Foundations of Computsr Science, 1986, pp. 478-491.
 
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B. Dixon and R. E. Tarjan, "Optimal parallel verification of minimum spanning trees in logarithmic time," .4 lg o r2#h m# ca, to appear.
 
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M. Fredman and D. E. Willard, "Trans-dichotomous algorithms fc)r minimum spanning trees and shortest paths," Proc, 31#t Ann#c#l tEEN S#mp. on Fo#ndat#on# of Co,nputer 5c#e#ce., IEEE Computer Society Press, Los Alamitos, ('A, 1986, pp. 478-491.
 
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"O jist6m probl6mu minim#ilnfm," Prdca Morttvski Pr{rodovedecki Spolecno#t# 6 (1930), pp. 57-63. (In Czech.)
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D. R. Karger, "Approximating, verifying, and constructing minimum spanning forests," manuscript, 1992.
 
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D. R. Karger '*Random sampling in matroids, with applications to graph connectivity and minimum spanning trees," Proc. ,34st Ann#al IEEE Syrup. on Fowndatzoas of Computer Science, IE1LE Computer Society Press, Los Alamitos, CA, 1993, pp. 84-93.
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V. King, personal communication, 1994.
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N. Megiddo, "Parallel algorithms for finding the maximum and the median almost surely in constant time," Technical Report, Graduate School of Industrial Administration, Carnegie-Mellon University, October 1982.
 
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P. 1%aghavan, "'Lecture Notes on Randomized Algorithms," Research 1%eport 1%C 15340 (#68237), Computer Science/Mathematics IBM Research Division, T.J. Watson Research Center, #%rktown Heights, NY. 1990, p. 54.
 
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C. Savage and .J. Ja'Ja, "Fast efficient parallel algorithms for some graph problems, SIAM J. Co mput 10 1981, pp. 682.
 
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Y. Shiloach, U. Vishkin. "Finding the maximum, merging and sortmg in a parallel computation model," Journal of Algorithms, 1(1981 ). 88-102.
 
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Y. Shiloach and U. Vishkin, "An O(log n) parallel connectivity algorithm." J. Algorithms 2, 1982, pp. 57-67.
 
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CITED BY  9

Collaborative Colleagues:
Richard Cole: colleagues
Philip N. Klein: colleagues
Robert E. Tarjan: colleagues