메뉴 건너뛰기




Volumn 26, Issue 2, 2006, Pages 207-230

An inverse-ackermann type lower bound for online minimum spanning tree verification

Author keywords

[No Author keywords available]

Indexed keywords


EID: 33749331859     PISSN: 02099683     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00493-006-0014-1     Document Type: Article
Times cited : (21)

References (40)
  • 1
    • 0001680003 scopus 로고
    • Zum hilbertshen aufbau der reelen zahlen
    • W. ACKERMANN: Zum Hilbertshen Aufbau der reelen Zahlen, Math. Ann. 99 (1928), 118-133.
    • (1928) Math. Ann. , vol.99 , pp. 118-133
    • Ackermann, W.1
  • 2
    • 0001848776 scopus 로고    scopus 로고
    • Geometric range searching and its relatives
    • Advances in Discrete and Computational Geometry (B. Chazelle, J. E. Goodman, R. Pollack, eds.)
    • P. K. AGARWAL and J. ERIKSON: Geometric range searching and its relatives, Advances in Discrete and Computational Geometry (B. Chazelle, J. E. Goodman, R. Pollack, eds.); Contemporary Mathematics 223 (1998), 1-56.
    • (1998) Contemporary Mathematics , vol.223 , pp. 1-56
    • Agarwal, P.K.1    Erikson, J.2
  • 3
    • 0023247786 scopus 로고
    • Geometric applications of a matrix-searching algorithm
    • A. AGGARWAL, M. KLAWE, S. MORAN, P. SHOR and R. WILBER: Geometric applications of a matrix-searching algorithm, Algorithmica 2 (1987), 195-208.
    • (1987) Algorithmica , vol.2 , pp. 195-208
    • Aggarwal, A.1    Klawe, M.2    Moran, S.3    Shor, P.4    Wilber, R.5
  • 4
    • 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
  • 8
    • 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) (1987), 337-361.
    • (1987) Algorithmica , vol.2 , Issue.3 , pp. 337-361
    • Chazelle, B.1
  • 9
    • 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) (2000), 1028-1047.
    • (2000) J. ACM , vol.47 , Issue.6 , pp. 1028-1047
    • Chazelle, B.1
  • 10
    • 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) (2000), 1012-1027.
    • (2000) J. ACM , vol.47 , Issue.6 , pp. 1012-1027
    • Chazelle, B.1
  • 11
  • 14
    • 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) (1992), 1184-1192.
    • (1992) SIAM J. Comput. , vol.21 , Issue.6 , pp. 1184-1192
    • Dixon, B.1    Rauch, M.2    Tarjan, R.E.3
  • 18
    • 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) (1993), 272-283.
    • (1993) SIAM J. Comput. , vol.22 , Issue.2 , pp. 272-283
    • Goddard, W.1    Kenyon, C.2    King, V.3    Schulman, L.4
  • 20
    • 0021426157 scopus 로고
    • Fast algorithms for finding nearest common ancestors
    • D. HAREL and R. E. TARJAN: Fast algorithms for finding nearest common ancestors, SIAM J. Comput. 13(2) (1984), 338-355.
    • (1984) SIAM J. Comput. , vol.13 , Issue.2 , pp. 338-355
    • Harel, D.1    Tarjan, R.E.2
  • 21
    • 51249171579 scopus 로고
    • Nonlinearity of Davenport-Schinzel sequences and of generalized path compression schemes
    • S. HART and M. SHARIR: Nonlinearity of Davenport-Schinzel sequences and of generalized path compression schemes, Combinatorica 6(2) (1986), 151-177.
    • (1986) Combinatorica , vol.6 , Issue.2 , pp. 151-177
    • Hart, S.1    Sharir, M.2
  • 22
    • 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 (1995), 321-329.
    • (1995) J. ACM , vol.42 , pp. 321-329
    • Karger, D.R.1    Klein, P.N.2    Tarjan, R.E.3
  • 23
    • 0000626504 scopus 로고    scopus 로고
    • A simpler minimum spanning tree verification algorithm
    • V. KING: A simpler minimum spanning tree verification algorithm, Algorithmica 18(2) (1997), 263-270.
    • (1997) Algorithmica , vol.18 , Issue.2 , pp. 263-270
    • King, V.1
  • 25
    • 0012575167 scopus 로고
    • An almost linear time algorithm for generalized matrix searching
    • M. M. KLAWE and D. J. KLEITMAN: An almost linear time algorithm for generalized matrix searching, SIAM J. Discr. Math. 3(1) (1990), 81-97.
    • (1990) SIAM J. Discr. Math. , vol.3 , Issue.1 , pp. 81-97
    • Klawe, M.M.1    Kleitman, D.J.2
  • 26
    • 51249177436 scopus 로고
    • Linear verification for spanning trees
    • J. KOMLÓS: Linear verification for spanning trees, Combinatorica 5(1) (1985), 57-65.
    • (1985) Combinatorica , vol.5 , Issue.1 , pp. 57-65
    • Komlós, J.1
  • 28
    • 29344451797 scopus 로고    scopus 로고
    • On the shortest path and minimum spanning tree problems
    • (Ph.D. Thesis), The University of Texas at Austin, Department of Computer Sciences, August
    • S. PETTIE: On the shortest path and minimum spanning tree problems (Ph.D. Thesis), Technical Report TR-03-35, The University of Texas at Austin, Department of Computer Sciences, August 2003.
    • (2003) Technical Report , vol.TR-03-35
    • Pettie, S.1
  • 29
    • 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, Theor. Comp. Sci. 312(1) (2004), 47-74.
    • (2004) Theor. Comp. Sci. , vol.312 , Issue.1 , pp. 47-74
    • Pettie, S.1
  • 31
    • 29344454699 scopus 로고    scopus 로고
    • A shortest path algorithm for real-weighted undirected graphs
    • to appear
    • S. PETTIE and V. RAMACHANDRAN: A shortest path algorithm for real-weighted undirected graphs, SIAM J. Comput., to appear.
    • SIAM J. Comput.
    • Pettie, S.1    Ramachandran, V.2
  • 33
    • 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) (2002), 16-34.
    • (2002) J. ACM , vol.49 , Issue.1 , pp. 16-34
    • Pettie, S.1    Ramachandran, V.2
  • 34
    • 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 (1975), 215-225.
    • (1975) J. ACM , vol.22 , pp. 215-225
    • Tarjan, R.E.1
  • 35
    • 0343695884 scopus 로고
    • Complexity of monotone networks for computing conjunctions
    • R. E. TARJAN: Complexity of monotone networks for computing conjunctions, Ann. Discrete Math. 2 (1978), 121-133.
    • (1978) Ann. Discrete Math. , vol.2 , pp. 121-133
    • Tarjan, R.E.1
  • 36
    • 0018533367 scopus 로고
    • Applications of path compression on balanced trees
    • R. E. TARJAN: Applications of path compression on balanced trees, J. ACM 26(4) (1979), 690-715.
    • (1979) J. ACM , vol.26 , Issue.4 , pp. 690-715
    • Tarjan, R.E.1
  • 37
    • 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) (1979), 110-127.
    • (1979) J. Comput. Syst. Sci. , vol.18 , Issue.2 , pp. 110-127
    • Tarjan, R.E.1
  • 38
    • 0002579339 scopus 로고
    • Sensitivity analysis of minimum spanning trees and shortest path problems (see also corrigendum IPL 23(4), p. 219)
    • R. E. TARJAN: Sensitivity analysis of minimum spanning trees and shortest path problems (see also corrigendum IPL 23(4), p. 219); Info. Proc. Lett. 14(1) (1982), 30-33.
    • (1982) Info. Proc. Lett. , vol.14 , Issue.1 , pp. 30-33
    • Tarjan, R.E.1
  • 39
    • 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) (1999), 362-394.
    • (1999) J. ACM , vol.46 , Issue.3 , pp. 362-394
    • Thorup, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.