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Volumn 35, Issue 4, 2006, Pages 932-963

Logarithmic lower bounds in the cell-probe model

Author keywords

Cell probe complexity; Data structures; Dynamic graph problems; Lower bounds; Partial sums problem

Indexed keywords

CELL-PROBE COMPLEXITY; DYNAMIC GRAPH PROBLEMS; LOWER BOUNDS; PARTIAL-SUMS PROBLEM;

EID: 33747197541     PISSN: 00975397     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0097539705447256     Document Type: Conference Paper
Times cited : (185)

References (37)
  • 2
    • 0000361741 scopus 로고
    • A lower bound for finding predecessors in Yao's cell probe model
    • Ajt88
    • [Ajt88] M. AJTAI, A lower bound for finding predecessors in Yao's cell probe model, Combinatorica, 8 (1988), pp. 235-247.
    • (1988) Combinatorica , vol.8 , pp. 235-247
    • Ajtai, M.1
  • 4
    • 85032070210 scopus 로고    scopus 로고
    • The buffer tree: A technique for designing batched external data structures
    • [Arg03] See also WADS '95
    • [Arg03] L. ARGE, The buffer tree: A technique for designing batched external data structures, Algorithmica, 37 (2003), pp. 1-24. See also WADS '95.
    • (2003) Algorithmica , vol.37 , pp. 1-24
    • Arge, L.1
  • 5
    • 0005308461 scopus 로고    scopus 로고
    • A generalization of a lower bound technique due to Fredman and Saks
    • [BAG01] See also FOCS '91
    • [BAG01] A. M. BEN-AMRAM AND Z. GALIL, A generalization of a lower bound technique due to Fredman and Saks, Algorithmica, 30 (2001), pp. 34-66. See also FOCS '91.
    • (2001) Algorithmica , vol.30 , pp. 34-66
    • Ben-Amram, A.M.1    Galil, Z.2
  • 6
    • 0141888223 scopus 로고    scopus 로고
    • Lower bounds for dynamic data structures on algebraic RAMs
    • [BAG02] See also FOCS '91
    • [BAG02] A. M. BEN-AMRAM AND Z. GALIL, Lower bounds for dynamic data structures on algebraic RAMs, Algorithmica, 32 (2002), pp. 364-395. See also FOCS '91.
    • (2002) Algorithmica , vol.32 , pp. 364-395
    • Ben-Amram, A.M.1    Galil, Z.2
  • 7
    • 23844490875 scopus 로고    scopus 로고
    • Optimal bounds for the predecessor problem and related problems
    • [BF02] See also STOC '99
    • [BF02] P. BEAME AND F. E. FICH, Optimal bounds for the predecessor problem and related problems, J. Comput. System Sci., 65 (2002), pp. 38-72. See also STOC '99.
    • (2002) J. Comput. System Sci. , vol.65 , pp. 38-72
    • Beame, P.1    Fich, F.E.2
  • 9
    • 0031539718 scopus 로고    scopus 로고
    • Lower bounds for off-line range searching
    • [Cha97] See also STOC '95
    • [Cha97] B. CHAZELLE, Lower bounds for off-line range searching, Discrete Comput. Geom., 17 (1997), pp. 53-65. See also STOC '95.
    • (1997) Discrete Comput. Geom. , vol.17 , pp. 53-65
    • Chazelle, B.1
  • 12
    • 85031913950 scopus 로고
    • Optimal algorithms for list indexing and subset rank
    • [Die89] Proceedings of the 1st Annual Workshop on Algorithms and Data Structures (WADS), Springer-Verlag, Berlin
    • [Die89] P. F. DIETZ, Optimal algorithms for list indexing and subset rank, in Proceedings of the 1st Annual Workshop on Algorithms and Data Structures (WADS), Lecture Notes in Comput. Sci. 382, Springer-Verlag, Berlin, 1989, pp. 39-46.
    • (1989) Lecture Notes in Comput. Sci. , vol.382 , pp. 39-46
    • Dietz, P.F.1
  • 13
    • 38249015356 scopus 로고
    • Maintenance of a minimum spanning forest in a dynamic planar graph
    • +92] See also SODA '90
    • +92] D. EPPSTEIN, G. F. ITALIANO, R. TAMASSIA, R. E. TARJAN, J. R. WESTBROOK, AND M. YUNG, Maintenance of a minimum spanning forest in a dynamic planar graph, J. Algorithms, 13 (1992), pp. 33-54. See also SODA '90.
    • (1992) J. Algorithms , vol.13 , pp. 33-54
    • Eppstein, D.1    Italiano, G.F.2    Tamassia, R.3    Tarjan, R.E.4    Westbrook, J.R.5    Yung, M.6
  • 14
    • 0028393228 scopus 로고
    • A new data structure for cumulative frequency tables
    • Fen94
    • [Fen94] P. M. FENWICK, A new data structure for cumulative frequency tables, Software: Practice and Experience, 24 (1994), pp. 327-336.
    • (1994) Software: Practice and Experience , vol.24 , pp. 327-336
    • Fenwick, P.M.1
  • 15
    • 0008802771 scopus 로고    scopus 로고
    • Lower bounds for fully dynamic connectivity problems in graphs
    • FH98
    • [FH98] M. L. FREDMAN AND M. R. HENZINGER, Lower bounds for fully dynamic connectivity problems in graphs, Algorithmica, 22 (1998), pp. 351-362.
    • (1998) Algorithmica , vol.22 , pp. 351-362
    • Fredman, M.L.1    Henzinger, M.R.2
  • 16
    • 0019622230 scopus 로고
    • A lower bound on the complexity of orthogonal range queries
    • Fre81
    • [Fre81] M. L. FREDMAN, A lower bound on the complexity of orthogonal range queries, J. ACM, 28 (1981), pp. 696-705.
    • (1981) J. ACM , vol.28 , pp. 696-705
    • Fredman, M.L.1
  • 17
    • 84976691492 scopus 로고
    • The complexity of maintaining an array and computing its partial sums
    • Fre82
    • [Fre82] M. L. FREDMAN, The complexity of maintaining an array and computing its partial sums, J. ACM, 29 (1982), pp. 250-260.
    • (1982) J. ACM , vol.29 , pp. 250-260
    • Fredman, M.L.1
  • 19
    • 0000743608 scopus 로고
    • Surpassing the information theoretic bound with fusion trees
    • [FW93] See also STOC '90
    • [FW93] M. L. FREDMAN AND D. E. WILLARD, Surpassing the information theoretic bound with fusion trees, J. Comput. System Sci., 47 (1993), pp. 424-436. See also STOC '90.
    • (1993) J. Comput. System Sci. , vol.47 , pp. 424-436
    • Fredman, M.L.1    Willard, D.E.2
  • 20
    • 0012532065 scopus 로고    scopus 로고
    • Poly-logarithmic deterministic fully-dynamic algorithms for connectivity, minimum spanning tree, 2-edge, and biconnectivity
    • [HdLT01] See also STOC '98
    • [HdLT01] 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. See also STOC '98.
    • (2001) J. ACM , vol.48 , pp. 723-760
    • Holm, J.1    De Lichtenberg, K.2    Thorup, M.3
  • 21
    • 0032057886 scopus 로고    scopus 로고
    • Optimal biweighted binary trees and the complexity of maintaining partial sums
    • [HF98] See also FOCS '93
    • [HF98] H. HAMPAPURAM AND M. L. FREDMAN, Optimal biweighted binary trees and the complexity of maintaining partial sums, SIAM J. Comput., 28 (1998), pp. 1-9. See also FOCS '93.
    • (1998) SIAM J. Comput. , vol.28 , pp. 1-9
    • Hampapuram, H.1    Fredman, M.L.2
  • 22
    • 0000538343 scopus 로고    scopus 로고
    • Randomized fully dynamic graph algorithms with polylogarithmic time per operation
    • [HK99] See also STOC '95
    • [HK99] M. R. HENZINGER AND V. KING, Randomized fully dynamic graph algorithms with polylogarithmic time per operation, J. ACM, 46 (1999), pp. 502-516. See also STOC '95.
    • (1999) J. ACM , vol.46 , pp. 502-516
    • Henzinger, M.R.1    King, V.2
  • 23
    • 0038638395 scopus 로고    scopus 로고
    • New lower bound techniques for dynamic partial sums and related problems
    • [HR03] See also ICALP '98
    • [HR03] T. HUSFELDT AND T. RAUHE, New lower bound techniques for dynamic partial sums and related problems, SIAM J. Comput., 32 (2003), pp. 736-753. See also ICALP '98.
    • (2003) SIAM J. Comput. , vol.32 , pp. 736-753
    • Husfeldt, T.1    Rauhe, T.2
  • 24
    • 0037749494 scopus 로고    scopus 로고
    • Lower bounds for dynamic transitive closure, planar point location, and parentheses matching
    • HRS96
    • [HRS96] T. HUSFELDT, T. RAUHE, AND S. SKYUM, Lower bounds for dynamic transitive closure, planar point location, and parentheses matching, Nordic J. Comput., 3 (1996), pp. 323-336.
    • (1996) Nordic J. Comput. , vol.3 , pp. 323-336
    • Husfeldt, T.1    Rauhe, T.2    Skyum, S.3
  • 25
    • 26844575838 scopus 로고    scopus 로고
    • Succinct data structures for searchable partial sums
    • [HSS03] Proceedings of the 14th Annual International Symposium on Algorithms and Computation (ISAAC), Springer-Verlag, Berlin
    • [HSS03] W.-K. HON, K. SADAKANE, AND W.-K. SUNG, Succinct data structures for searchable partial sums, in Proceedings of the 14th Annual International Symposium on Algorithms and Computation (ISAAC), Lecture Notes in Comput. Sci. 2906, Springer-Verlag, Berlin, 2003, pp. 505-516.
    • (2003) Lecture Notes in Comput. Sci. , vol.2906 , pp. 505-516
    • Hon, W.-K.1    Sadakane, K.2    Sung, W.-K.3
  • 26
    • 0040058197 scopus 로고    scopus 로고
    • Sampling to provide or to bound: With applications to fully dynamic graph algorithms
    • [HT97] See also ICALP '96
    • [HT97] M. R. HENZINGER AND M. THORUP, Sampling to provide or to bound: With applications to fully dynamic graph algorithms, Random Structures Algorithms, 11 (1997), pp. 369-379. See also ICALP '96.
    • (1997) Random Structures Algorithms , vol.11 , pp. 369-379
    • Henzinger, M.R.1    Thorup, M.2
  • 27
    • 0037749496 scopus 로고
    • Fully dynamic planarity testing in embedded graphs
    • [IPH93] Proceedings of the 1st Annual European Symposium on Algorithms (ESA), Springer-Verlag, Berlin
    • [IPH93] G. F. ITALIANO, J. A. LA POUTRE, AND M. R. HENZINGER, Fully dynamic planarity testing in embedded graphs, in Proceedings of the 1st Annual European Symposium on Algorithms (ESA), Lecture Notes in Comput. Sci. 726, Springer-Verlag, Berlin, 1993, pp. 212-223.
    • (1993) Lecture Notes in Comput. Sci. , vol.726 , pp. 212-223
    • Italiano, G.F.1    La Poutre, J.A.2    Henzinger, M.R.3
  • 29
    • 0032142025 scopus 로고    scopus 로고
    • On data structures and asymmetric communication complexity
    • [MNSW98] See also STOC '95
    • [MNSW98] P. B. MILTERSEN, N. NISAN, S. SAFRA, AND A. WIGDERSON, On data structures and asymmetric communication complexity, J. Comput. System Sci., 57 (1998), pp. 37-49. See also STOC '95.
    • (1998) J. Comput. System Sci. , vol.57 , pp. 37-49
    • Miltersen, P.B.1    Nisan, N.2    Safra, S.3    Wigderson, A.4
  • 30
    • 0028483806 scopus 로고
    • Complexity models for incremental computation
    • [MSVT94] See also STAGS '93
    • [MSVT94] P. B. MILTERSEN, S. SUBRAMANIAN, J. S. VITTER, AND R. TAMASSIA, Complexity models for incremental computation, Theoret. Comput. Sci., 130 (1994), pp. 203-236. See also STAGS '93.
    • (1994) Theoret. Comput. Sci. , vol.130 , pp. 203-236
    • Miltersen, P.B.1    Subramanian, S.2    Vitter, J.S.3    Tamassia, R.4
  • 31
    • 84958037743 scopus 로고    scopus 로고
    • Succinct dynamic data structures
    • [RRR01] Proceedings of the 7th Annual Workshop on Algorithms and Data Structures (WADS), Springer-Verlag, Berlin
    • [RRR01] R. RAMAN, V. RAMAN, AND S. S. RAO, Succinct dynamic data structures, in Proceedings of the 7th Annual Workshop on Algorithms and Data Structures (WADS), Lecture Notes in Comput. Sci. 2125, Springer-Verlag, Berlin, 2001, pp. 426-437.
    • (2001) Lecture Notes in Comput. Sci. , vol.2125 , pp. 426-437
    • Raman, R.1    Raman, V.2    Rao, S.S.3
  • 32
    • 0020766586 scopus 로고
    • A data structure for dynamic trees
    • [ST83] See also STOC '81
    • [ST83] D. D. SLEATOR AND R. E. TARJAN, A data structure for dynamic trees, J. Comput. System Sci., 26 (1983), pp. 362-391. See also STOC '81.
    • (1983) J. Comput. System Sci. , vol.26 , pp. 362-391
    • Sleator, D.D.1    Tarjan, R.E.2
  • 35
    • 0024611994 scopus 로고
    • Lower bounds for accessing binary search trees with rotations
    • [Wil89] See also FOCS '86
    • [Wil89] R. WILBER, Lower bounds for accessing binary search trees with rotations, SIAM J. Comput., 18 (1989), pp. 56-67. See also FOCS '86.
    • (1989) SIAM J. Comput. , vol.18 , pp. 56-67
    • Wilber, R.1
  • 37
    • 0022061438 scopus 로고
    • On the complexity of maintaining partial sums
    • Yao85
    • [Yao85] A. C.-C. YAO, On the complexity of maintaining partial sums, SIAM J. Comput., 14 (1985), pp. 277-288.
    • (1985) SIAM J. Comput. , vol.14 , pp. 277-288
    • Yao, A.C.-C.1


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