메뉴 건너뛰기




Volumn 39, Issue 1, 2001, Pages 1-46

Optimal Randomized EREW PRAM Algorithms for Finding Spanning Forests

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0012637354     PISSN: 01966774     EISSN: None     Source Type: Journal    
DOI: 10.1006/jagm.2000.1146     Document Type: Article
Times cited : (32)

References (45)
  • 1
    • 0346647768 scopus 로고
    • Finding Euler circuits in logarithmic parallel time
    • (F. Preparata, Ed.), JAI Press
    • B. Awerbuch, A. Israeli, and Y. Shiloach. Finding Euler circuits in logarithmic parallel time in "Advances in Computing Research" (F. Preparata, Ed.), Vol. 4, pp. 79-86, JAI Press, 1987.
    • (1987) Advances in Computing Research , vol.4 , pp. 79-86
    • Awerbuch, B.1    Israeli, A.2    Shiloach, Y.3
  • 3
    • 0000019758 scopus 로고
    • New connectivity and MSF algorithms for shuffle-exchange network and PRAM
    • B. Awerbuch and Y. Shiloach, New connectivity and MSF algorithms for shuffle-exchange network and PRAM, IEEE Trans. Comput. 36 (1987), 1258-1263.
    • (1987) IEEE Trans. Comput. , vol.36 , pp. 1258-1263
    • Awerbuch, B.1    Shiloach, Y.2
  • 8
    • 0038474549 scopus 로고
    • Finding connected components in O(log n log log n) time on the EREW PRAM
    • K. W. Chong and T.W. Lam, Finding connected components in O(log n log log n) time on the EREW PRAM, J. Algorithms 18 (1995), 378-402.
    • (1995) J. Algorithms , vol.18 , pp. 378-402
    • Chong, K.W.1    Lam, T.W.2
  • 9
    • 0020183349 scopus 로고
    • Efficient parallel algorithms for some graph problems
    • F. Y. Chin, J. Lam, and I. N. Chen, Efficient parallel algorithms for some graph problems, Commun. ACM 25 (1982), 659-665.
    • (1982) Commun. ACM , vol.25 , pp. 659-665
    • Chin, F.Y.1    Lam, J.2    Chen, I.N.3
  • 10
    • 0024057356 scopus 로고
    • Parallel merge-sort
    • R. Cole, Parallel merge-sort, SIAM J. Comput. 17 (1988), 770-785.
    • (1988) SIAM J. Comput. , vol.17 , pp. 770-785
    • Cole, R.1
  • 11
    • 0026155384 scopus 로고
    • Approximate parallel scheduling. Part II: Applications to logarithmic-time optimal graph algorithms
    • R. Cole, and U. Vishkin, Approximate parallel scheduling. Part II: Applications to logarithmic-time optimal graph algorithms, Inform. and Comput. 92 (1991), 1-47.
    • (1991) Inform. and Comput. , vol.92 , pp. 1-47
    • Cole, R.1    Vishkin, U.2
  • 12
    • 0027609964 scopus 로고
    • Finding triconnected components by local replacement
    • D. Fussell, V. Ramachandran, and R. Thurimella, Finding triconnected components by local replacement, SIAM J. Comput. 22 (1993), 587-616.
    • (1993) SIAM J. Comput. , vol.22 , pp. 587-616
    • Fussell, D.1    Ramachandran, V.2    Thurimella, R.3
  • 13
    • 0026390260 scopus 로고
    • An optimal randomized parallel algorithm for finding connected components in a graph
    • H. Gazit, An optimal randomized parallel algorithm for finding connected components in a graph, SIAM J. Comput. 20 (1991), 1046-1067.
    • (1991) SIAM J. Comput. , vol.20 , pp. 1046-1067
    • Gazit, H.1
  • 15
    • 0030103563 scopus 로고    scopus 로고
    • Sorting on a parallel pointer machine with applications to set expression evaluation
    • M. T. Goodrich and S. R. Kosaraju, Sorting on a parallel pointer machine with applications to set expression evaluation, J. ACM, 43 (1996), 331-361.
    • (1996) J. ACM , vol.43 , pp. 331-361
    • Goodrich, M.T.1    Kosaraju, S.R.2
  • 16
    • 0018504724 scopus 로고
    • Computing connected components on parallel computers
    • D. S. Hirschberg, A. K. Chandra, and D.V. Sarwate, Computing connected components on parallel computers, Commun. ACM 22 (1979), 461-464.
    • (1979) Commun. ACM , vol.22 , pp. 461-464
    • Hirschberg, D.S.1    Chandra, A.K.2    Sarwate, D.V.3
  • 17
    • 0025460592 scopus 로고
    • An efficient and fast parallel connected component algorithm
    • Y. Han and R. A. Wagner, An efficient and fast parallel connected component algorithm, J. of the ACM, 37 (1990), 626-642.
    • (1990) J. of the ACM , vol.37 , pp. 626-642
    • Han, Y.1    Wagner, R.A.2
  • 19
    • 0030393752 scopus 로고    scopus 로고
    • An optimal randomized logarithmic time connectivity algorithm for the EREW PRAM
    • S. Halperin and U. Zwick, An optimal randomized logarithmic time connectivity algorithm for the EREW PRAM, J. Comput. Syst. Sci. 53 (1996), 395-416.
    • (1996) J. Comput. Syst. Sci. , vol.53 , pp. 395-416
    • Halperin, S.1    Zwick, U.2
  • 20
    • 0039449093 scopus 로고
    • A simpler parallel algorithm for graph connectivity
    • K. Iwama and Y. Kambayashi, A simpler parallel algorithm for graph connectivity, J. Algorithms 16 (1994), 190-217.
    • (1994) J. Algorithms , vol.16 , pp. 190-217
    • Iwama, K.1    Kambayashi, Y.2
  • 22
    • 0242375871 scopus 로고
    • A parallel algorithm for computing minimum spanning trees
    • D. B. Johnson and P. Metaxas, A parallel algorithm for computing minimum spanning trees, J. Algorithms 19 (1995), 383-401.
    • (1995) J. Algorithms , vol.19 , pp. 383-401
    • Johnson, D.B.1    Metaxas, P.2
  • 25
    • 0029276335 scopus 로고
    • A randomized linear-time algorithm to find minimum spanning trees
    • D. R. Karger, P. N. Klein, and R. E. Tarjan, A randomized linear-time algorithm to find minimum spanning trees, J. ACM 42 (1995), 321-328.
    • (1995) J. ACM , vol.42 , pp. 321-328
    • Karger, D.R.1    Klein, P.N.2    Tarjan, R.E.3
  • 26
    • 0032284176 scopus 로고    scopus 로고
    • Fast connected components algorithms for the EREW PRAM
    • D. R. Karger, N. Nisan, and M. Parnas, Fast connected components algorithms for the EREW PRAM. SIAM J. Comput. 28 (1999), 1021-1034.
    • (1999) SIAM J. Comput. , vol.28 , pp. 1021-1034
    • Karger, D.R.1    Nisan, N.2    Parnas, M.3
  • 27
    • 0012682946 scopus 로고    scopus 로고
    • An optimal EREW PRAM algorithm for minimum spanning tree verification
    • V. King, C. K. Poon, V. Ramachandran, and S. Sinha, An optimal EREW PRAM algorithm for minimum spanning tree verification, Inform. Process. Lett. 62 (1997), 153-159.
    • (1997) Inform. Process. Lett. , vol.62 , pp. 153-159
    • King, V.1    Poon, C.K.2    Ramachandran, V.3    Sinha, S.4
  • 28
    • 0025245297 scopus 로고
    • Efficient parallel algorithms for graph problems
    • C. P. Kruskal, L. Rudolph, and M. Snir, Efficient parallel algorithms for graph problems, Algorithmica 5 (1990), 43-64.
    • (1990) Algorithmica , vol.5 , pp. 43-64
    • Kruskal, C.P.1    Rudolph, L.2    Snir, M.3
  • 33
    • 0023005121 scopus 로고
    • Parallel ear decomposition search (eds) and st-numbering in graphs
    • Y. Maon, B. Schieber, and U. Vishkin, Parallel ear decomposition search (eds) and st-numbering in graphs, Theoret. Comput. Sci. 47 (1986), 277-298.
    • (1986) Theoret. Comput. Sci. , vol.47 , pp. 277-298
    • Maon, Y.1    Schieber, B.2    Vishkin, U.3
  • 34
    • 0020098299 scopus 로고
    • Parallel algorithms for the connected components and minimal spanning trees
    • D. Nash and S. N. Maheshwari, Parallel algorithms for the connected components and minimal spanning trees, Inform. Process. Lett. 14 (1982), 7-11.
    • (1982) Inform. Process. Lett. , vol.14 , pp. 7-11
    • Nash, D.1    Maheshwari, S.N.2
  • 38
    • 85031665285 scopus 로고
    • Computing connected components on EREW PRAM
    • King's College London
    • T. Radzik, Computing connected components on EREW PRAM, Technical Report 94/02, King's College London, 1994.
    • (1994) Technical Report 94/02
    • Radzik, T.1
  • 39
    • 0011589280 scopus 로고
    • Parallel open ear decomposition with applications to graph biconnectivity and triconnectivity
    • University of Texas at Austin, Department of Computer Sciences
    • V. Ramachandran, Parallel open ear decomposition with applications to graph biconnectivity and triconnectivity, Technical Report UTEXAS.CS//CS-TR-92-02, University of Texas at Austin, Department of Computer Sciences, 1992.
    • (1992) Technical Report UTEXAS.CS//CS-TR-92-02
    • Ramachandran, V.1
  • 40
    • 0011589280 scopus 로고
    • Parallel open ear decomposition with applications to graph biconnectivity and triconnectivity
    • (J. H. Reif, Ed.), Chap. 1, Morgan Kaufmann
    • V. Ramachandran, Parallel open ear decomposition with applications to graph biconnectivity and triconnectivity, in "Synthesis of Parallel Algorithms" (J. H. Reif, Ed.), Chap. 1, pp. 275-340. Morgan Kaufmann, 1993.
    • (1993) Synthesis of Parallel Algorithms , pp. 275-340
    • Ramachandran, V.1
  • 41
    • 0347277895 scopus 로고    scopus 로고
    • personal communication
    • V. Ramachandran, personal communication, 1996.
    • (1996)
    • Ramachandran, V.1
  • 43
    • 49049132956 scopus 로고
    • An O(log n) parallel connectivity algorithm
    • Y. Shiloach and U. Vishkin, An O(log n) parallel connectivity algorithm, J. Algorithms, 3 (1982), 57-67.
    • (1982) J. Algorithms , vol.3 , pp. 57-67
    • Shiloach, Y.1    Vishkin, U.2
  • 44
    • 0024144496 scopus 로고
    • On finding lowest common ancestors: Simplification and parallelization
    • B. Schieber and U. Vishkin, On finding lowest common ancestors: Simplification and parallelization, SIAM J. Comput. 17 (1988), 1253-1262.
    • (1988) SIAM J. Comput. , vol.17 , pp. 1253-1262
    • Schieber, B.1    Vishkin, U.2
  • 45
    • 0022162133 scopus 로고
    • An efficient parallel biconnectivity algorithm
    • R. E. Tarjan and U. Vishkin, An efficient parallel biconnectivity algorithm, SIAM J. Comput. 14 (1985), 862-874.
    • (1985) SIAM J. Comput. , vol.14 , pp. 862-874
    • Tarjan, R.E.1    Vishkin, U.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.