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Volumn 22, Issue 4, 1998, Pages 490-515

On the analysis of linear probing hashing

Author keywords

Airy functions; Analysis of algorithms; Hashing; Linear probing; Parking problem

Indexed keywords


EID: 19544388116     PISSN: 01784617     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00009236     Document Type: Article
Times cited : (125)

References (54)
  • 2
    • 0347836114 scopus 로고
    • Two counting problems solved via string encodings
    • Combinatorial Algorithms on Words, A. Apostolico and Z. Galil, Eds., Springer-Verlag, Berlin
    • Broder, A. Two counting problems solved via string encodings. In Combinatorial Algorithms on Words, A. Apostolico and Z. Galil, Eds., vol. 12 of NATO Advance Science Institute Series. Series F: Computer and System Sciences. Springer-Verlag, Berlin, 1985, pp. 229-240.
    • (1985) NATO Advance Science Institute Series. Series F: Computer and System Sciences , vol.12 , pp. 229-240
    • Broder, A.1
  • 3
    • 0003930163 scopus 로고
    • Dover, New York, A reprint of the third North-Holland edition, 1970 (first edition, 1958)
    • De Bruijn, N. G. Asymptotic Methods in Analysis. Dover, New York, 1981. A reprint of the third North-Holland edition, 1970 (first edition, 1958).
    • (1981) Asymptotic Methods in Analysis
    • De Bruijn, N.G.1
  • 6
    • 84915939958 scopus 로고
    • Random mapping statistics
    • Advances in Cryptology, J.-J. Quisquater and J. Vandewalle, Eds., Springer-Verlag, Berlin
    • Flajolet, P., and Odlyzko, A. M. Random mapping statistics. In Advances in Cryptology, J.-J. Quisquater and J. Vandewalle, Eds., vol. 434 of Lecture Notes in Computer Science, Springer-Verlag, Berlin, 1990, pp. 329-354. Proceedings of Eurocrypt '89, Houtalen, Belgium, April 1989.
    • (1990) Lecture Notes in Computer Science , vol.434 , pp. 329-354
    • Flajolet, P.1    Odlyzko, A.M.2
  • 7
    • 84915939958 scopus 로고
    • Houtalen, Belgium, April
    • Flajolet, P., and Odlyzko, A. M. Random mapping statistics. In Advances in Cryptology, J.-J. Quisquater and J. Vandewalle, Eds., vol. 434 of Lecture Notes in Computer Science, Springer-Verlag, Berlin, 1990, pp. 329-354. Proceedings of Eurocrypt '89, Houtalen, Belgium, April 1989.
    • (1989) Proceedings of Eurocrypt '89
  • 9
    • 19544367188 scopus 로고    scopus 로고
    • Book in preparation, Individual chapters are available as INRIA Research Reports 1888
    • Flajolet, P., and Sedgewick, R. Analytic Combinatorics. Book in preparation, 1998. (Individual chapters are available as INRIA Research Reports 1888, 2026, 2376, 2956, 3162.)
    • (1998) Analytic Combinatorics , pp. 2026
    • Flajolet, P.1    Sedgewick, R.2
  • 10
    • 0042365657 scopus 로고
    • Analysis I, Integral Representations and Asymptotic Methods
    • Springer-Verlag, Berlin
    • Gamkrelidze, R. V., Ed. Analysis I, Integral Representations and Asymptotic Methods, vol. 13 of Encyclopedia of Mathematical Sciences. Springer-Verlag, Berlin, 1989.
    • (1989) Encyclopedia of Mathematical Sciences , vol.13
    • Gamkrelidze, R.V.1
  • 11
    • 0007468685 scopus 로고
    • Some results on the asymptotic behaviour of coefficients of large powers of functions
    • Gardy, D. Some results on the asymptotic behaviour of coefficients of large powers of functions. Discrete Mathematics 139(1-3) (1995), 189-217.
    • (1995) Discrete Mathematics , vol.139 , Issue.1-3 , pp. 189-217
    • Gardy, D.1
  • 13
    • 0000357654 scopus 로고
    • Depth-first search as a combinatorial correspondence
    • Gessel, I., and Wang, D. L. Depth-first search as a combinatorial correspondence. Journal of Combinatorial Theory, Series A 26(3) (1979), 308-313.
    • (1979) Journal of Combinatorial Theory, Series A , vol.26 , Issue.3 , pp. 308-313
    • Gessel, I.1    Wang, D.L.2
  • 14
    • 0039936094 scopus 로고
    • The analysis of linear probing sort by the use of a new mathematical transform
    • Gonnet, G., and Munro, J. The analysis of linear probing sort by the use of a new mathematical transform. Journal of Algorithms 5 (1984), 451-470.
    • (1984) Journal of Algorithms , vol.5 , pp. 451-470
    • Gonnet, G.1    Munro, J.2
  • 20
    • 0242649742 scopus 로고
    • Über einige Funktionaldifferentialgleichingen aus des Analyse von Algorithmen
    • Zahlentheoretische Analysis II, E. Hlawka, Ed., Springer-Verlag, Berlin
    • Kirschenhofer, P., Prodinger, H., and Tichy, R. Über einige Funktionaldifferentialgleichingen aus des Analyse von Algorithmen. In Zahlentheoretische Analysis II, E. Hlawka, Ed., no. 1262 in Lecture Notes in Mathematics, Springer-Verlag, Berlin, 1987, pp. 111-123.
    • (1987) Lecture Notes in Mathematics , vol.1262 , pp. 111-123
    • Kirschenhofer, P.1    Prodinger, H.2    Tichy, R.3
  • 21
    • 0007508325 scopus 로고
    • Unpublished memorandum
    • Knuth, D. E. Notes on "open" addressing. Unpublished memorandum, 1963. (Memo dated July 22, 1963. With annotation "My first analysis of an algorithm, originally done during Summer 1962 in Madison." Also conjectures the asymptotics of the Q-function, with annotation "Proved May 24, 1965.")
    • (1963) Notes on "Open" Addressing
    • Knuth, D.E.1
  • 22
    • 19544367336 scopus 로고
    • Memo dated July 22
    • Knuth, D. E. Notes on "open" addressing. Unpublished memorandum, 1963. (Memo dated July 22, 1963. With annotation "My first analysis of an algorithm, originally done during Summer 1962 in Madison." Also conjectures the asymptotics of the Q-function, with annotation "Proved May 24, 1965.")
    • (1963) My First Analysis of an Algorithm, Originally Done during Summer 1962 in Madison
  • 23
    • 19544366681 scopus 로고    scopus 로고
    • Knuth, D. E. Notes on "open" addressing. Unpublished memorandum, 1963. (Memo dated July 22, 1963. With annotation "My first analysis of an algorithm, originally done during Summer 1962 in Madison." Also conjectures the asymptotics of the Q-function, with annotation "Proved May 24, 1965.")
    • Proved May 24, 1965
  • 27
    • 0004502641 scopus 로고
    • Analysis of optimum caching
    • Knuth, D. E. Analysis of optimum caching. Journal of Algorithms 6 (1985), 181-199.
    • (1985) Journal of Algorithms , vol.6 , pp. 181-199
    • Knuth, D.E.1
  • 28
    • 19544364512 scopus 로고    scopus 로고
    • Linear probing and graphs
    • Knuth, D. E. Linear probing and graphs. Algorithmica, this issue, pp. 561-568.
    • Algorithmica , Issue.THIS ISSUE , pp. 561-568
    • Knuth, D.E.1
  • 30
    • 0000789133 scopus 로고
    • The expected linearity of a simple equivalence algorithm
    • Knuth, D. E., and Schönhage, A. The expected linearity of a simple equivalence algorithm. Theoretical Computer Science 6 (1978), 281-315.
    • (1978) Theoretical Computer Science , vol.6 , pp. 281-315
    • Knuth, D.E.1    Schönhage, A.2
  • 31
    • 0000017082 scopus 로고
    • Une famille de polynômes ayant plusieurs propriétés énumératives
    • Kreweras, G. Une famille de polynômes ayant plusieurs propriétés énumératives. Periodica Mathematica Hungarica 11 (1980), 309-320.
    • (1980) Periodica Mathematica Hungarica , vol.11 , pp. 309-320
    • Kreweras, G.1
  • 33
    • 0021493799 scopus 로고
    • Kac's formula, Lévy's local time and Brownian excursion
    • Louchard, G. Kac's formula, Lévy's local time and Brownian excursion. Journal of Applied Probability 21 (1984), 479-499.
    • (1984) Journal of Applied Probability , vol.21 , pp. 479-499
    • Louchard, G.1
  • 35
    • 0041049688 scopus 로고
    • Counting labelled trees
    • Canadian Mathematical Congress, Montreal
    • Moon, J. W. Counting labelled trees. In Canadian Mathematical Monographs, vol. 1. Canadian Mathematical Congress, Montreal, 1970.
    • (1970) Canadian Mathematical Monographs , vol.1
    • Moon, J.W.1
  • 36
    • 0000278117 scopus 로고
    • Asymptotic enumeration methods
    • M. G. R. Graham and L. Lovász, Eds. Elsevier, Amsterdam
    • Odlyzko, A. M. Asymptotic enumeration methods. In Handbook of Combinatorics, vol. II, M. G. R. Graham and L. Lovász, Eds. Elsevier, Amsterdam, 1995, pp. 1063-1229.
    • (1995) Handbook of Combinatorics , vol.2 , pp. 1063-1229
    • Odlyzko, A.M.1
  • 37
    • 38249038058 scopus 로고
    • Linear probing: The probable largest search time grows logarithmically with the number of records
    • Pittel, B. Linear probing: the probable largest search time grows logarithmically with the number of records. Journal of Algorithms 8 (1987), 236-249.
    • (1987) Journal of Algorithms , vol.8 , pp. 236-249
    • Pittel, B.1
  • 38
    • 0022796304 scopus 로고
    • Approximating functions by their Poisson transform
    • Poblete, P. Approximating functions by their Poisson transform. Information Processing Letters 23 (1986), 127-130.
    • (1986) Information Processing Letters , vol.23 , pp. 127-130
    • Poblete, P.1
  • 40
    • 0000637519 scopus 로고
    • The integral of the absolute value of the pinned Wienerprocess - Calculation of its probability density by numerical integration
    • Rice, S. O. The integral of the absolute value of the pinned Wienerprocess - calculation of its probability density by numerical integration. Annals of Probability 10 (1982), 240-243.
    • (1982) Annals of Probability , vol.10 , pp. 240-243
    • Rice, S.O.1
  • 43
    • 0000637518 scopus 로고
    • On the integral of the absolute value of the pinned Wiener process
    • Shepp, L. A. On the integral of the absolute value of the pinned Wiener process. Annals of Probability 10 (1982), 234-239.
    • (1982) Annals of Probability , vol.10 , pp. 234-239
    • Shepp, L.A.1
  • 46
    • 0000703623 scopus 로고
    • A Bernoulli excursion and its various applications
    • Takács, L. A Bernoulli excursion and its various applications. Advances in Applied Probability 23 (1991), 557-585.
    • (1991) Advances in Applied Probability , vol.23 , pp. 557-585
    • Takács, L.1
  • 49
    • 0242337620 scopus 로고
    • The asymptotic distribution of the total heights of random rooted trees
    • Takács, L. The asymptotic distribution of the total heights of random rooted trees. Acta Scientifica Mathematica (Szeged) 57 (1993), 613-625.
    • (1993) Acta Scientifica Mathematica (Szeged) , vol.57 , pp. 613-625
    • Takács, L.1
  • 52
    • 0001886010 scopus 로고
    • The number of connected sparsely edged graphs
    • Wright, E. M. The number of connected sparsely edged graphs. Journal of Graph Theory 1 (1977), 317-330.
    • (1977) Journal of Graph Theory , vol.1 , pp. 317-330
    • Wright, E.M.1
  • 53
    • 0039579533 scopus 로고
    • The number of connected sparsely edged graphs. II. Smooth graphs
    • Wright, E. M. The number of connected sparsely edged graphs. II. Smooth graphs. Journal of Graph Theory 2 (1978), 299-305.
    • (1978) Journal of Graph Theory , vol.2 , pp. 299-305
    • Wright, E.M.1
  • 54
    • 0007033389 scopus 로고
    • The number of connected sparsely edged graphs. III. Asymptotic results
    • Wright, E. M. The number of connected sparsely edged graphs. III. Asymptotic results. Journal of Graph Theory 4 (1980), 393-407.
    • (1980) Journal of Graph Theory , vol.4 , pp. 393-407
    • Wright, E.M.1


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