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Volumn 22, Issue 4, 1998, Pages 529-546

Asymptotics of divide-and-conquer recurrences: Batcher's sorting algorithm and a minimum euclidean matching heuristic

Author keywords

Divide and conquer; Exponential sums; Mellin transform; Minimum Euclidean matching; Van der Corput's method

Indexed keywords


EID: 12744265111     PISSN: 01784617     EISSN: None     Source Type: Journal    
DOI: 10.1007/pl00009238     Document Type: Article
Times cited : (5)

References (16)
  • 1
    • 21844484375 scopus 로고
    • Mellin transforms and asymptotics: The mergesort recurrence
    • P. Flajolet and M. Golin, Mellin transforms and asymptotics: the mergesort recurrence, Acta Informatica, 31, 673-696 (1994).
    • (1994) Acta Informatica , vol.31 , pp. 673-696
    • Flajolet, P.1    Golin, M.2
  • 3
  • 4
    • 0002700746 scopus 로고
    • Completely q-multiplicative functions: The Mellin transform approach
    • P. Grabner, Completely q-multiplicative functions: the Mellin transform approach, Acta Arithmetica, 65, 85-96 (1993).
    • (1993) Acta Arithmetica , vol.65 , pp. 85-96
    • Grabner, P.1
  • 9
    • 19544367677 scopus 로고    scopus 로고
    • Asymptotic expansions of mergesort recurrences
    • to appear
    • H.-K. Hwang, Asymptotic expansions of mergesort recurrences, Acta Informatica, to appear.
    • Acta Informatica
    • Hwang, H.-K.1
  • 12
    • 0010902116 scopus 로고
    • Data movement in odd-even merging
    • R. Sedgewick, Data movement in odd-even merging, SIAM Journal on Computing, 7, 239-272 (1978).
    • (1978) SIAM Journal on Computing , vol.7 , pp. 239-272
    • Sedgewick, R.1
  • 13
    • 19544377589 scopus 로고
    • Divide and conquer heuristics for minimum weighted Euclidean matching
    • K. J. Supowit and E. M. Reingold, Divide and conquer heuristics for minimum weighted Euclidean matching, SIAM Journal on Computing, 12, 118-143 (1983).
    • (1983) SIAM Journal on Computing , vol.12 , pp. 118-143
    • Supowit, K.J.1    Reingold, E.M.2
  • 14
    • 0003764201 scopus 로고
    • Institut Elie Cartan, Université de Nancy I, Nancy, English translation by Cambridge University Press, Cambridge
    • G. Tenenbaum, Introduction à la théorie analytique et probabiliste des nombres, Institut Elie Cartan, Université de Nancy I, Nancy, 1990. (English translation by Cambridge University Press, Cambridge, 1995.)
    • (1990) Introduction à la Théorie Analytique et Probabiliste des Nombres
    • Tenenbaum, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.