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Volumn 65, Issue 1, 2002, Pages 38-72

Optimal bounds for the predecessor problem and related problems

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; DATA STRUCTURES; MATHEMATICAL MODELS; QUERY LANGUAGES; RANDOM ACCESS STORAGE; SET THEORY;

EID: 23844490875     PISSN: 00220000     EISSN: 10902724     Source Type: Journal    
DOI: 10.1006/jcss.2002.1822     Document Type: Conference Paper
Times cited : (127)

References (50)
  • 2
    • 0000361741 scopus 로고
    • A lower bound for finding predecessors in Yao's cell probe model
    • Miklós Ajtai, A lower bound for finding predecessors in Yao's cell probe model, Combinatorica 8 (1988), 235-247.
    • (1988) Combinatorica , vol.8 , pp. 235-247
    • Ajtai, M.1
  • 11
    • 33645261519 scopus 로고    scopus 로고
    • Predecessor queries in dynamic integer sets
    • "(STAGS) 97: 14th Annual Symposium on Theoretical Aspects of Computer Science," Springer-Verlag, Berlin/New York, February
    • G. Brodal, Predecessor queries in dynamic integer sets, in "(STAGS) 97: 14th Annual Symposium on Theoretical Aspects of Computer Science," Lecture Notes in Computer Science, Vol. 1200, pp. 21-32, Springer-Verlag, Berlin/New York, February 1997.
    • (1997) Lecture Notes in Computer Science , vol.1200 , pp. 21-32
    • Brodal, G.1
  • 12
    • 84947938418 scopus 로고    scopus 로고
    • Trans-dichotomous algorithms without multiplications - Some upper and lower bounds
    • "Proceedings of the 5th Workshop on Algorithms and Data Structures, Halifax, NS, Canada, 1997," Springer-Verlag, Berlin/New York
    • A. Brodnik, P. B. Miltersen, and I. Munro, Trans-dichotomous algorithms without multiplications - some upper and lower bounds, in "Proceedings of the 5th Workshop on Algorithms and Data Structures, Halifax, NS, Canada, 1997," Lecture Notes in Computer Science, Vol. 1272, pp. 426-439, Springer-Verlag, Berlin/New York.
    • Lecture Notes in Computer Science , vol.1272 , pp. 426-439
    • Brodnik, A.1    Miltersen, P.B.2    Munro, I.3
  • 13
    • 0018456171 scopus 로고
    • Universal classes of hash functions
    • J. L. Carter and M. N. Wegman, Universal classes of hash functions, J. Comput. System Sci. 18 (1979), 143-154.
    • (1979) J. Comput. System Sci. , vol.18 , pp. 143-154
    • Carter, J.L.1    Wegman, M.N.2
  • 14
    • 0347156620 scopus 로고    scopus 로고
    • Towards optimal ε-approximate nearest neighbor algorithms
    • M. Cary, Towards optimal ε-approximate nearest neighbor algorithms, J. Algorithms 41 (2001), 417-428.
    • (2001) J. Algorithms , vol.41 , pp. 417-428
    • Cary, M.1
  • 16
    • 84958059433 scopus 로고    scopus 로고
    • Geometric searching over the rationals
    • "Proceedings of the 7th European Symposium on Algorithms," Springer-Verlag, Berlin/ New York
    • B. Chazelle, Geometric searching over the rationals, in "Proceedings of the 7th European Symposium on Algorithms," Lecture Notes in Computer Science, pp. 354-365, Springer-Verlag, Berlin/ New York, 1999.
    • (1999) Lecture Notes in Computer Science , pp. 354-365
    • Chazelle, B.1
  • 18
    • 19544385851 scopus 로고
    • Probabilistic methods in graph theory
    • V. Chvátal, Probabilistic methods in graph theory, Ann. Oper. Res. 1 (1984), 171-182.
    • (1984) Ann. Oper. Res. , vol.1 , pp. 171-182
    • Chvátal, V.1
  • 19
    • 84860839700 scopus 로고
    • Polynomial hash functions are reliable
    • "Automata, Languages, and Programming: 19th International Colloquium," Springer-Verlag, Berlin/New York, July
    • M. Dietzfelbinger, J. Gil, Y. Matias, and N. Pippenger, Polynomial hash functions are reliable, in "Automata, Languages, and Programming: 19th International Colloquium," Lecture Notes in Computer Science, Vol. 623, pp. 235-246, Springer-Verlag, Berlin/New York, July 1992.
    • (1992) Lecture Notes in Computer Science , vol.623 , pp. 235-246
    • Dietzfelbinger, M.1    Gil, J.2    Matias, Y.3    Pippenger, N.4
  • 22
    • 85031912155 scopus 로고    scopus 로고
    • A new universal class of hash functions and dynamic hashing in real time
    • "Automata, Languages, and Programming: 17th International Colloquium, Warwick University, England, July 1990" (M. S. Paterson, Ed.), Springer-Verlag, Berlin/New York
    • M. Dietzfelbinger and F. Meyer auf der Heide, A new universal class of hash functions and dynamic hashing in real time, in "Automata, Languages, and Programming: 17th International Colloquium, Warwick University, England, July 1990" (M. S. Paterson, Ed.), Lecture Notes in Computer Science, Vol. 443, pp. 6-17, Springer-Verlag, Berlin/New York.
    • Lecture Notes in Computer Science , vol.443 , pp. 6-17
    • Dietzfelbinger, M.1    Meyer Auf Der Heide, F.2
  • 24
    • 84860989809 scopus 로고
    • Tables should be sorted (on random access machines)
    • "Proceedings of the 4th Workshop on Algorithms and Data Structures," Springer-Verlag, Berlin/New York
    • F. Fich and P. B. Miltersen, Tables should be sorted (on random access machines), in "Proceedings of the 4th Workshop on Algorithms and Data Structures," Lecture Notes in Computer Science, Vol. 995, pp. 163-174, Springer-Verlag, Berlin/New York, 1995.
    • (1995) Lecture Notes in Computer Science , vol.995 , pp. 163-174
    • Fich, F.1    Miltersen, P.B.2
  • 27
    • 0021467937 scopus 로고
    • Storing a sparse table with O(1) worst case access time
    • M. Fredman, J. Komlós, and E. Szemerédi, Storing a sparse table with O(1) worst case access time, J. Assoc. Comput. Mach. 31 (1984), 538-544.
    • (1984) J. Assoc. Comput. Mach. , vol.31 , pp. 538-544
    • Fredman, M.1    Komlós, J.2    Szemerédi, E.3
  • 29
    • 0000743608 scopus 로고
    • Surpassing the information theoretic bound with fusion trees
    • M. Fredman and D. Willard, Surpassing the information theoretic bound with fusion trees, J. Comput. System Sci. 47 (1993), 424-436.
    • (1993) J. Comput. System Sci. , vol.47 , pp. 424-436
    • Fredman, M.1    Willard, D.2
  • 30
    • 84860989008 scopus 로고    scopus 로고
    • Sorting and searching on a word RAM
    • "(STACS) 98: 15th Annual Symposium on Theoretical Aspects of Computer Science, Paris, France, February 1998," Springer-Verlag, Berlin/New York
    • T. Hagerup, Sorting and searching on a word RAM, in "(STACS) 98: 15th Annual Symposium on Theoretical Aspects of Computer Science, Paris, France, February 1998," Lecture Notes in Computer Science, Vol. 1373, pp. 366-398, Springer-Verlag, Berlin/New York.
    • Lecture Notes in Computer Science , vol.1373 , pp. 366-398
    • Hagerup, T.1
  • 35
    • 0024143457 scopus 로고
    • A lower bound on the complexity of the union-split-find problem
    • K. Mehlhorn, S. Näher, and H. Alt, A lower bound on the complexity of the Union-Split-Find problem, SIAM J. Comput. 17 (1988), 1093-1102.
    • (1988) SIAM J. Comput. , vol.17 , pp. 1093-1102
    • Mehlhorn, K.1    Näher, S.2    Alt, H.3
  • 36
    • 0042209290 scopus 로고    scopus 로고
    • The bit probe complexity measure revisited
    • "STAGS 93 : 10th Annual Symposium on Theoretical Aspects of Computer Science, Wurzburg, Germany, February 1993(A. Finkel, P. Enjalbert, and K. W. Wagner, Eds.), Springer-Verlag, Berlin/New York
    • P. B. Miltersen, The bit probe complexity measure revisited, in "STAGS 93 : 10th Annual Symposium on Theoretical Aspects of Computer Science, Wurzburg, Germany, February 1993" (A. Finkel, P. Enjalbert, and K. W. Wagner, Eds.), Lecture Notes in Computer Science, Vol. 665, pp. 662-671, Springer-Verlag, Berlin/New York.
    • Lecture Notes in Computer Science , vol.665 , pp. 662-671
    • Miltersen, P.B.1
  • 41
    • 0037534584 scopus 로고
    • Understanding the complexity of interpolation search
    • Y. Perl and E. M. Reingold, Understanding the complexity of interpolation search, Inform. Proces. Lett. 6 (1977), 219-222.
    • (1977) Inform. Proces. Lett. , vol.6 , pp. 219-222
    • Perl, Y.1    Reingold, E.M.2
  • 42
    • 84958047776 scopus 로고    scopus 로고
    • Priority queues: Small, monotone, and trans-dichotomous
    • "Proceedings of the 4th European Symposium on Algorithms," Springer-Verlag, Berlin/New York
    • R. Raman, Priority queues: Small, monotone, and trans-dichotomous, in "Proceedings of the 4th European Symposium on Algorithms," Lecture Notes in Computer Science, Vol. 1136, pp. 121-137, Springer-Verlag, Berlin/New York, 1996.
    • (1996) Lecture Notes in Computer Science , vol.1136 , pp. 121-137
    • Raman, R.1
  • 44
    • 0002484064 scopus 로고
    • Preserving order in a forest in less than logarithmic time and linear space
    • P. Van Emde Boas, Preserving order in a forest in less than logarithmic time and linear space, Inform. Proces. Lett. 6 (1977), 80-82.
    • (1977) Inform. Proces. Lett. , vol.6 , pp. 80-82
    • Van Emde Boas, P.1
  • 45
    • 34250391491 scopus 로고
    • Design and implementation of an efficient priority queue
    • P. Van Emde Boas, R. Kaas, and E. Zijlstra, Design and implementation of an efficient priority queue, Math. Systems Theory 10 (1977), 99-127.
    • (1977) Math. Systems Theory , vol.10 , pp. 99-127
    • Van Emde Boas, P.1    Kaas, R.2    Zijlstra, E.3
  • 46
    • 0020802573 scopus 로고
    • Log-logarithmic worst case range queries are possible in space ⊖(n)
    • D. E. Willard, Log-logarithmic worst case range queries are possible in space ⊖(n), Inform. Proces. Lett. 17(1983), 81-84.
    • (1983) Inform. Proces. Lett. , vol.17 , pp. 81-84
    • Willard, D.E.1
  • 47
    • 0022161420 scopus 로고
    • Searching unindexed and nonuniformly generated files in log log N time
    • D. E. Willard, Searching unindexed and nonuniformly generated files in log log N time, SIAM J. Comput. 14 (1985), 1013-1029.
    • (1985) SIAM J. Comput. , vol.14 , pp. 1013-1029
    • Willard, D.E.1
  • 48
    • 0006490016 scopus 로고
    • Ph.D. thesis, University of California, San Diego
    • Bing Xiao, "New Bounds in Cell Probe Model," Ph.D. thesis, University of California, San Diego, 1992.
    • (1992) New Bounds in Cell Probe Model
    • Xiao, B.1
  • 50
    • 0019591034 scopus 로고
    • Should tables be sorted?
    • A. C. Yao, Should tables be sorted? J. Assoc. Comput. Mach. 28 (1981), 615-628.
    • (1981) J. Assoc. Comput. Mach. , vol.28 , pp. 615-628
    • Yao, A.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.