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Volumn 3827 LNCS, Issue , 2005, Pages 964-973

Sensitivity analysis of minimum spanning trees in sub-inverse-ackermann time

Author keywords

[No Author keywords available]

Indexed keywords

INVERSE-ACKERMANN FUNCTION; SPANNING TREE; WEIGHTED ELEMENTS;

EID: 33744950986     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/11602613_96     Document Type: Conference Paper
Times cited : (34)

References (33)
  • 1
    • 0003535981 scopus 로고
    • Optimal preprocessing for answering on-line product queries
    • Institute of Computer Science, Tel Aviv : University
    • A. Alon and B. Schieber. Optimal preprocessing for answering on-line product queries. Technical Report TR-71/87, Institute of Computer Science, Tel Aviv : University, 1987.
    • (1987) Technical Report , vol.TR-71-87
    • Alon, A.1    Schieber, B.2
  • 4
    • 52449148136 scopus 로고
    • Computing on a free tree via complexity-preserving mappings
    • B. Chazelle. Computing on a free tree via complexity-preserving mappings. Algorithmica, 2(3):337-361, 1987.
    • (1987) Algorithmica , vol.2 , Issue.3 , pp. 337-361
    • Chazelle, B.1
  • 5
    • 0012574730 scopus 로고    scopus 로고
    • A minimum spanning tree algorithm with inverse-Ackermann type complexity
    • B. Chazelle. A minimum spanning tree algorithm with inverse-Ackermann type complexity. J. ACM, 47(6):1028-1047, 2000.
    • (2000) J. ACM , vol.47 , Issue.6 , pp. 1028-1047
    • Chazelle, B.1
  • 6
    • 0012608449 scopus 로고    scopus 로고
    • The soft heap: An approximate priority queue with optimal error rate
    • B. Chazelle. The soft heap: an approximate priority queue with optimal error rate. J. ACM, 47(6):1012-1027, 2000.
    • (2000) J. ACM , vol.47 , Issue.6 , pp. 1012-1027
    • Chazelle, B.1
  • 7
    • 0001522013 scopus 로고
    • Verification and sensitivity analysis of minimum spanning trees in linear time
    • B. Dixon, M. Rauch, and R. E. Tarjan. Verification and sensitivity analysis of minimum spanning trees in linear time. SIAM J. Comput., 21(6):1184-1192, 1992.
    • (1992) SIAM J. Comput. , vol.21 , Issue.6 , pp. 1184-1192
    • Dixon, B.1    Rauch, M.2    Tarjan, R.E.3
  • 11
    • 0020732246 scopus 로고
    • A linear-time algorithm for a special case of disjoint set union
    • H. N. Gabow and R. E. Tarjan. A linear-time algorithm for a special case of disjoint set union. J. Comput. Syst. Sci., 30(2):209-221, 1985.
    • (1985) J. Comput. Syst. Sci. , vol.30 , Issue.2 , pp. 209-221
    • Gabow, H.N.1    Tarjan, R.E.2
  • 12
    • 0000358314 scopus 로고
    • Faster scaling algorithms for general graph-matching problems
    • H. N. Gabow and R. E. Tarjan. Faster scaling algorithms for general graph-matching problems. J. ACM, 38(4):815-853, 1991.
    • (1991) J. ACM , vol.38 , Issue.4 , pp. 815-853
    • Gabow, H.N.1    Tarjan, R.E.2
  • 13
    • 0027578635 scopus 로고
    • Optimal randomized algorithms for local sorting and set-maxima
    • W. Goddard, C. Kenyon, V. King, and L. Schulman. Optimal randomized algorithms for local sorting and set-maxima. SIAM J. Comput., 22(2):272-283, 1993.
    • (1993) SIAM J. Comput. , vol.22 , Issue.2 , pp. 272-283
    • Goddard, W.1    Kenyon, C.2    King, V.3    Schulman, L.4
  • 14
    • 0002726668 scopus 로고
    • On the history of the minimum spanning tree problem
    • R. L. Graham and P. Hell. On the history of the minimum spanning tree problem. Ann. Hist. Comput., 7(1):43-57, 1985.
    • (1985) Ann. Hist. Comput. , vol.7 , Issue.1 , pp. 43-57
    • Graham, R.L.1    Hell, P.2
  • 16
    • 0029276335 scopus 로고
    • A randomized linear-time algorithm for finding minimum spanning trees
    • D. R. Karger, P. N. Klein, and R. E. Tarjan. A randomized linear-time algorithm for finding minimum spanning trees. J. ACM, 42:321-329, 1995.
    • (1995) J. ACM , vol.42 , pp. 321-329
    • Karger, D.R.1    Klein, P.N.2    Tarjan, R.E.3
  • 18
    • 0000626504 scopus 로고    scopus 로고
    • A simpler minimum spanning tree verification algorithm
    • V. King. A simpler minimum spanning tree verification algorithm. Algorithmica, 18(2):263-270, 1997.
    • (1997) Algorithmica , vol.18 , Issue.2 , pp. 263-270
    • King, V.1
  • 19
    • 51249177436 scopus 로고
    • Linear verification for spanning trees
    • J. Komlós. Linear verification for spanning trees. Combinatorica, 5(1):57-65, 1985.
    • (1985) Combinatorica , vol.5 , Issue.1 , pp. 57-65
    • Komlós, J.1
  • 20
    • 0030082304 scopus 로고    scopus 로고
    • Lower bounds for the union-find and the split-find problem on pointer machines
    • H. LaPoutré. Lower bounds for the union-find and the split-find problem on pointer machines. J. Comput. Syst. Sci., 52:87-99, 1996.
    • (1996) J. Comput. Syst. Sci. , vol.52 , pp. 87-99
    • Lapoutré, H.1
  • 21
    • 33749331859 scopus 로고    scopus 로고
    • An inverse-Ackermann type lower bound for online minimum spanning tree verification
    • to appear
    • S. Pettie. An inverse-Ackermann type lower bound for online minimum spanning tree verification. Combinatorica. to appear.
    • Combinatorica
    • Pettie, S.1
  • 23
    • 29344451797 scopus 로고    scopus 로고
    • On the shortest path and minimum spanning tree problems
    • Ph.D. thesis, The University of Texas at Austin, 2003
    • S. Pettie. On the Shortest Path and Minimum Spanning Tree Problems. Ph.D. thesis, The University of Texas at Austin, 2003. Department of Computer Sciences Technical Report TR-03-35.
    • Department of Computer Sciences Technical Report , vol.TR-03-35
    • Pettie, S.1
  • 24
    • 0346339721 scopus 로고    scopus 로고
    • A new approach to all-pairs shortest paths on real-weighted graphs
    • S. Pettie. A new approach to all-pairs shortest paths on real-weighted graphs. Theoretical Computer Science, 312(1):47-74, 2004.
    • (2004) Theoretical Computer Science , vol.312 , Issue.1 , pp. 47-74
    • Pettie, S.1
  • 26
    • 0002621234 scopus 로고    scopus 로고
    • An optimal minimum spanning tree algorithm
    • S. Pettie and V. Ramachandran. An optimal minimum spanning tree algorithm. J. ACM, 49(1):16-34, 2002.
    • (2002) J. ACM , vol.49 , Issue.1 , pp. 16-34
    • Pettie, S.1    Ramachandran, V.2
  • 28
    • 29344454699 scopus 로고    scopus 로고
    • A shortest path algorithm for real-weighted undirected graphs
    • S. Pettie and V. Ramachandran. A shortest path algorithm for real-weighted undirected graphs. SIAM J. Comput., 34(6):1398-1431, 2005.
    • (2005) SIAM J. Comput. , vol.34 , Issue.6 , pp. 1398-1431
    • Pettie, S.1    Ramachandran, V.2
  • 29
    • 0016495233 scopus 로고
    • Efficiency of a good but not linear set merging algorithm
    • R. E. Tarjan. Efficiency of a good but not linear set merging algorithm. J. ACM, 22:215-225, 1975.
    • (1975) J. ACM , vol.22 , pp. 215-225
    • Tarjan, R.E.1
  • 30
    • 0018533367 scopus 로고
    • Applications of path compression on balanced trees
    • R. E. Tarjan. Applications of path compression on balanced trees. J. ACM, 26(4):690-715, 1979.
    • (1979) J. ACM , vol.26 , Issue.4 , pp. 690-715
    • Tarjan, R.E.1
  • 31
    • 0018455018 scopus 로고
    • A class of algorithms which require nonlinear time to maintain disjoint sets
    • R. E. Tarjan. A class of algorithms which require nonlinear time to maintain disjoint sets. J. Comput. Syst. Sci., 18(2):110-127, 1979.
    • (1979) J. Comput. Syst. Sci. , vol.18 , Issue.2 , pp. 110-127
    • Tarjan, R.E.1
  • 32
    • 0002579339 scopus 로고
    • Sensitivity analysis of minimum spanning trees and shortest path problems
    • See Corrigendum, IPL 23(4):219
    • R. E. Tarjan. Sensitivity analysis of minimum spanning trees and shortest path problems. Info. Proc. Lett., 14(1):30-33, 1982. See Corrigendum, IPL 23(4):219.
    • (1982) Info. Proc. Lett. , vol.14 , Issue.1 , pp. 30-33
    • Tarjan, R.E.1
  • 33
    • 0000778521 scopus 로고    scopus 로고
    • Undirected single-source shortest paths with positive integer weights in linear time
    • M. Thorup. Undirected single-source shortest paths with positive integer weights in linear time. J. ACM, 46(3):362-394, 1999.
    • (1999) J. ACM , vol.46 , Issue.3 , pp. 362-394
    • Thorup, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.