메뉴 건너뛰기




Volumn 37, Issue 5, 2007, Pages 1455-1471

Improved dynamic reachability algorithms for directed graphs

Author keywords

Dynamic algorithms; Strongly connected components; Transitive closure

Indexed keywords

COMPUTATIONAL GEOMETRY; COMPUTER SCIENCE; GRAPH THEORY; MANGANESE COMPOUNDS;

EID: 43249088871     PISSN: 00975397     EISSN: None     Source Type: Journal    
DOI: 10.1137/060650271     Document Type: Article
Times cited : (75)

References (28)
  • 2
    • 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. System Sci., 55 (1997), pp. 441-453.
    • (1997) J. Comput. System Sci , vol.55 , pp. 441-453
    • COHEN, E.1
  • 3
    • 85023205150 scopus 로고
    • Matrix multiplication via arithmetic progressions
    • D. COPPERSMITH AND S. WINOGRAD, Matrix multiplication via arithmetic progressions, J. Symbolic Comput., 9 (1990), pp. 251-280.
    • (1990) J. Symbolic Comput , vol.9 , pp. 251-280
    • COPPERSMITH, D.1    WINOGRAD, S.2
  • 7
    • 84976826635 scopus 로고
    • An on-line edge-deletion problem
    • S. EVEN AND Y. SHILOACH, An on-line edge-deletion problem, J. ACM, 28 (1981), pp. 1-4.
    • (1981) J. ACM , vol.28 , pp. 1-4
    • EVEN, S.1    SHILOACH, Y.2
  • 8
    • 0012582935 scopus 로고    scopus 로고
    • D. FRIGIONI, T. MILLER, U. NANNI, AND C. ZAROLIAGIS, An experimental study of dynamic algorithms for transitive closure, ACM J. Exp. Algorithmics, 6 (2001), (electronic).
    • D. FRIGIONI, T. MILLER, U. NANNI, AND C. ZAROLIAGIS, An experimental study of dynamic algorithms for transitive closure, ACM J. Exp. Algorithmics, 6 (2001), (electronic).
  • 9
    • 0033735089 scopus 로고    scopus 로고
    • Path-based depth-first search for strong and biconnected components
    • H. N. GABOW, Path-based depth-first search for strong and biconnected components, Inform. Process. Lett., 74 (2000), pp. 107-114.
    • (2000) Inform. Process. Lett , vol.74 , pp. 107-114
    • GABOW, H.N.1
  • 11
    • 0000538343 scopus 로고    scopus 로고
    • Randomized fully dynamic graph algorithms with poly logarithmic time per operation
    • M. HENZINGER AND V. KING, Randomized fully dynamic graph algorithms with poly logarithmic time per operation, J. ACM, 46 (1999), pp. 502-516.
    • (1999) J. ACM , vol.46 , pp. 502-516
    • HENZINGER, M.1    KING, V.2
  • 12
    • 0012532065 scopus 로고    scopus 로고
    • Poly-logarithmic deterministic fully-dynamic algorithms for connectivity, minimum spanning tree, 2-edge, and biconnectivity
    • J. HOLM, K. DE LICHTENBERG, AND M. THORUP, Poly-logarithmic deterministic fully-dynamic algorithms for connectivity, minimum spanning tree, 2-edge, and biconnectivity, J. ACM, 48 (2001), pp. 723-760.
    • (2001) J. ACM , vol.48 , pp. 723-760
    • HOLM, J.1    DE LICHTENBERG, K.2    THORUP, M.3
  • 13
    • 0000559550 scopus 로고    scopus 로고
    • Fast rectangular matrix multiplications and applications
    • X. HUANG AND V. Y. PAN, Fast rectangular matrix multiplications and applications, J. Complexity, 14 (1998), pp. 257-299.
    • (1998) J. Complexity , vol.14 , pp. 257-299
    • HUANG, X.1    PAN, V.Y.2
  • 14
    • 0024017283 scopus 로고
    • Finding paths and deleting edges in directed acyclic graphs
    • G. F. ITALIANO, Finding paths and deleting edges in directed acyclic graphs. Inform. Process. Lett., 28 (1988), pp. 5-11.
    • (1988) Inform. Process. Lett , vol.28 , pp. 5-11
    • ITALIANO, G.F.1
  • 15
    • 0032606988 scopus 로고    scopus 로고
    • Fully dynamic algorithms for maintaining all-pairs shortest paths and transitive closure in digraphs
    • New York
    • V. KING, Fully dynamic algorithms for maintaining all-pairs shortest paths and transitive closure in digraphs, in Proceedings of the 40th Annual Symposium on Foundations of Computer Science, New York, 1999, pp. 81-91.
    • (1999) Proceedings of the 40th Annual Symposium on Foundations of Computer Science , pp. 81-91
    • KING, V.1
  • 16
    • 23844435717 scopus 로고    scopus 로고
    • A fully dynamic algorithm for maintaining the transitive closure
    • V. KING AND G. SAGERT, A fully dynamic algorithm for maintaining the transitive closure, J. Comput. System Sci., 65 (2002), pp. 150-167.
    • (2002) J. Comput. System Sci , vol.65 , pp. 150-167
    • KING, V.1    SAGERT, G.2
  • 17
    • 84944040679 scopus 로고    scopus 로고
    • A space saving trick for directed dynamic transitive closure and shortest path algorithms
    • Guilin, China
    • V. KING AND M. THORUP, A space saving trick for directed dynamic transitive closure and shortest path algorithms, in Proceedings of the 7th Annual International Conference, COCOON, Guilin, China, 2001, pp. 269-277.
    • (2001) Proceedings of the 7th Annual International Conference, COCOON , pp. 269-277
    • KING, V.1    THORUP, M.2
  • 18
    • 27144435138 scopus 로고    scopus 로고
    • An experimental study of algorithms for fully dynamic transitive closure
    • Springer, Berlin
    • I. KROMMIDAS AND C. D. ZAROLIAGIS, An experimental study of algorithms for fully dynamic transitive closure, in Lecture Notes in Comput. Sci. 3669, Springer, Berlin, 2005, pp. 544-555.
    • (2005) Lecture Notes in Comput. Sci , vol.3669 , pp. 544-555
    • KROMMIDAS, I.1    ZAROLIAGIS, C.D.2
  • 19
    • 55249088268 scopus 로고
    • Maintenance of transitive closure and transitive reduction of graphs
    • J. A. LA POUTRÉ AND J. VAN LEEUWEN, Maintenance of transitive closure and transitive reduction of graphs, in Proc. of the 13th WG, 1987.
    • (1987) Proc. of the 13th WG
    • LA POUTRÉ, J.A.1    VAN LEEUWEN, J.2
  • 22
    • 4544278504 scopus 로고    scopus 로고
    • A fully dynamic reachability algorithm for directed graphs with an almost linear update time
    • Chicago, IL
    • L. RODITTY AND U. ZWICK, A fully dynamic reachability algorithm for directed graphs with an almost linear update time, in Proceedings of the 36th Annual ACM Symposium on Theory of Computing, Chicago, IL, 2004, pp. 184-191.
    • (2004) Proceedings of the 36th Annual ACM Symposium on Theory of Computing , pp. 184-191
    • RODITTY, L.1    ZWICK, U.2
  • 25
    • 0003071773 scopus 로고
    • A strong-connectivity algorithm and its application in dataflow analysis
    • M. SHARIR, A strong-connectivity algorithm and its application in dataflow analysis, Comput. Math. Appl., 7 (1981), pp. 67-72.
    • (1981) Comput. Math. Appl , vol.7 , pp. 67-72
    • SHARIR, M.1
  • 26
    • 0001790593 scopus 로고
    • Depth-first search and linear graph algorithms
    • R. E. TARJAN, Depth-first search and linear graph algorithms, SIAM J. Comput., 1 (1972), pp. 146-160.
    • (1972) SIAM J. Comput , vol.1 , pp. 146-160
    • TARJAN, R.E.1
  • 27
    • 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 (1991), pp. 100-125.
    • (1991) SIAM J. Comput , vol.20 , pp. 100-125
    • ULLMAN, J.D.1    YANNAKAKIS, M.2
  • 28
    • 0012584372 scopus 로고    scopus 로고
    • All pairs shortest paths using bridging sets and rectangular matrix multiplication
    • U. ZWICK, All pairs shortest paths using bridging sets and rectangular matrix multiplication, J. ACM, 49 (2002), pp. 289-317.
    • (2002) J. ACM , vol.49 , pp. 289-317
    • ZWICK, U.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.