메뉴 건너뛰기




Volumn , Issue , 2008, Pages 146-151

Finding strongly connected components in parallel using O(log2 n) reachability queries

Author keywords

Graph algorithms; Parallel algorithms; Strongly connected components; Topological sort; Transitive closure bottleneck

Indexed keywords

GRAPH ALGORITHMS; REACH ABILITIES; REACHABILITY QUERIES; SPARSE GRAPHS; STRONGLY CONNECTED COMPONENTS; TOPOLOGICAL SORT; TOPOLOGICAL SORTS; TRANSITIVE CLOSURE BOTTLENECK;

EID: 57349195102     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1145/1378533.1378560     Document Type: Conference Paper
Times cited : (26)

References (22)
  • 1
    • 0025414193 scopus 로고
    • Parallel depth-first search in general directed graphs
    • A. Aggarwal, R. J. Anderson, and M.-Y. Kao. Parallel depth-first search in general directed graphs. SIAM J. Comput, 19(2):397-409, 1990.
    • (1990) SIAM J. Comput , vol.19 , Issue.2 , pp. 397-409
    • Aggarwal, A.1    Anderson, R.J.2    Kao, M.-Y.3
  • 2
    • 57349095701 scopus 로고    scopus 로고
    • D. Bader. A practical parallel algorithm for cycle detection in partitioned digraphs. Technical Report AHPCC-TR-99-013, Electrical & Computer Eng. Dept., Univ. New Mexico, Albuquerque, NM, 1999.
    • D. Bader. A practical parallel algorithm for cycle detection in partitioned digraphs. Technical Report AHPCC-TR-99-013, Electrical & Computer Eng. Dept., Univ. New Mexico, Albuquerque, NM, 1999.
  • 3
    • 32344444575 scopus 로고    scopus 로고
    • An algorithm for strongly connected component analysis in n log n symbolic steps
    • R. Bloem, H. N. Gabow, and F. Somenzi. An algorithm for strongly connected component analysis in n log n symbolic steps. Form. Methods Syst. Des., 28(l):37-56, 2006.
    • (2006) Form. Methods Syst. Des , vol.28 , Issue.L , pp. 37-56
    • Bloem, R.1    Gabow, H.N.2    Somenzi, F.3
  • 4
    • 0031353179 scopus 로고    scopus 로고
    • Size-estimation framework with applications to transitive closure and reachability
    • E. Cohen. Size-estimation framework with applications to transitive closure and reachability. J. Comput. Syst. Set., 55(3):441-453, 1997.
    • (1997) J. Comput. Syst. Set , vol.55 , Issue.3 , pp. 441-453
    • Cohen, E.1
  • 5
    • 57349176633 scopus 로고    scopus 로고
    • A divide-and-conquer algorithm for identifying strongly connected components
    • Technical Report RC23744, IBM Research
    • D. Coppersmith, L. Fleischer, B. Hendrickson, and A. Pinar. A divide-and-conquer algorithm for identifying strongly connected components. Technical Report RC23744, IBM Research, 2005.
    • (2005)
    • Coppersmith, D.1    Fleischer, L.2    Hendrickson, B.3    Pinar, A.4
  • 8
    • 0024031890 scopus 로고
    • An improved parallel algorithm that computes the bfs numbering of a directed graph
    • H. Gazit and G. L. Miller. An improved parallel algorithm that computes the bfs numbering of a directed graph. Inf. Process. Lett, 28(2):61-65, 1988.
    • (1988) Inf. Process. Lett , vol.28 , Issue.2 , pp. 61-65
    • Gazit, H.1    Miller, G.L.2
  • 11
    • 0027610548 scopus 로고
    • Linear-processor nc algorithms for planar directed graphs i: Strongly connected components
    • M.-Y. Kao. Linear-processor nc algorithms for planar directed graphs i: Strongly connected components. SIAM J. Comput, 22:431-459, 1993.
    • (1993) SIAM J. Comput , vol.22 , pp. 431-459
    • Kao, M.-Y.1
  • 12
    • 0025149855 scopus 로고
    • Towards overcoming the transitive-closure bottleneck: Efficient parallel algorithms for planar digraphs
    • New York, NY, USA, ACM Press
    • M.-Y. Kao and P. N. Klein. Towards overcoming the transitive-closure bottleneck: efficient parallel algorithms for planar digraphs. In STOC '90: Proceedings of the twenty-second annual ACM symposium on Theory of computing, pages 181-192, New York, NY, USA, 1990. ACM Press.
    • (1990) STOC '90: Proceedings of the twenty-second annual ACM symposium on Theory of computing , pp. 181-192
    • Kao, M.-Y.1    Klein, P.N.2
  • 18
    • 0024682726 scopus 로고
    • Optimal and sublogarithmic time randomized parallel sorting algorithms
    • S. Rajasekaran and J. H. Reif. Optimal and sublogarithmic time randomized parallel sorting algorithms. SIAM J. Comput, 18(3):594-607, 1989.
    • (1989) SIAM J. Comput , vol.18 , Issue.3 , pp. 594-607
    • Rajasekaran, S.1    Reif, J.H.2
  • 19
    • 0022075817 scopus 로고
    • Depth-first search is inherently sequential
    • J. H. Reif. Depth-first search is inherently sequential. Information Processing Letters, 20(5):229-234, 1985.
    • (1985) Information Processing Letters , vol.20 , Issue.5 , pp. 229-234
    • Reif, J.H.1
  • 20
    • 0031220296 scopus 로고    scopus 로고
    • Time-work tradeoffs for parallel algorithms
    • T. H. Spencer. Time-work tradeoffs for parallel algorithms. J. ACM, 44(5):742-778, 1997.
    • (1997) J. ACM , vol.44 , Issue.5 , pp. 742-778
    • Spencer, T.H.1
  • 21
    • 0001790593 scopus 로고
    • Depth-first search and linear graph algorithms
    • R. E. Tarjan. Depth-first search and linear graph algorithms. SIAM Journal on Computing, 1:146-160, 1972.
    • (1972) SIAM Journal on Computing , vol.1 , pp. 146-160
    • Tarjan, R.E.1
  • 22
    • 0026102973 scopus 로고
    • High probability parallel transitive-closure algorithms
    • J. D. Ullman and M. Yannakakis. High probability parallel transitive-closure algorithms. SIAM J. Comput., 20(1):100-125, 1991.
    • (1991) SIAM J. Comput , vol.20 , Issue.1 , pp. 100-125
    • Ullman, J.D.1    Yannakakis, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.