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Volumn 19, Issue 5, 1998, Pages 617-620

A note on the asymptotic number of Latin rectangles

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EID: 0032375174     PISSN: 01956698     EISSN: None     Source Type: Journal    
DOI: 10.1006/eujc.1998.0221     Document Type: Article
Times cited : (3)

References (16)
  • 3
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    • Three-line rectangles
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    • Riordan, J.1
  • 4
    • 0039738285 scopus 로고
    • The asymptotic number of Latin rectangles
    • P. Erdös and J. Kaplansky, The Asymptotic number of Latin rectangles, Am. J. Math., 68 (1946), 230-236.
    • (1946) Am. J. Math. , vol.68 , pp. 230-236
    • Erdös, P.1    Kaplansky, J.2
  • 5
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    • On the asymptotic number of Latin rectangles
    • K. Yamamoto, On the asymptotic number of Latin rectangles, Japan. J. Math., 21 (1951), 113-119.
    • (1951) Japan. J. Math. , vol.21 , pp. 113-119
    • Yamamoto, K.1
  • 6
    • 0001067389 scopus 로고
    • Poisson approximation for independent trials
    • L. Chen, Poisson approximation for independent trials, Ann. Probab., 3 (1975), 534-545.
    • (1975) Ann. Probab. , vol.3 , pp. 534-545
    • Chen, L.1
  • 7
    • 0011001087 scopus 로고
    • Asymptotic evaluation of the number of Latin rectangles
    • C. Stein, Asymptotic evaluation of the number of Latin rectangles, J. Combin. Theory, Series A, 25 (1978), 38-49.
    • (1978) J. Combin. Theory, Series A , vol.25 , pp. 38-49
    • Stein, C.1
  • 8
    • 0040330201 scopus 로고
    • Certain properties of non-negative matrices and their permanents
    • Russian
    • L. M. Bregman, Certain properties of non-negative matrices and their permanents, Dokl. Akad. Nauk SSSR, 211 (1973), 27-30 (Russian). (English translation: Soviet Math. Dokl., 14 (1973), 945-949.)
    • (1973) Dokl. Akad. Nauk SSSR , vol.211 , pp. 27-30
    • Bregman, L.M.1
  • 9
    • 0000906859 scopus 로고
    • English translation
    • L. M. Bregman, Certain properties of non-negative matrices and their permanents, Dokl. Akad. Nauk SSSR, 211 (1973), 27-30 (Russian). (English translation: Soviet Math. Dokl., 14 (1973), 945-949.)
    • (1973) Soviet Math. Dokl. , vol.14 , pp. 945-949
  • 10
    • 0011690522 scopus 로고
    • Upper bounds for permanents of (0,1)-matrices
    • H. Minc, Upper bounds for permanents of (0,1)-matrices, Bull. Am. Math. Soc., 69 (1963), 789-791.
    • (1963) Bull. Am. Math. Soc. , vol.69 , pp. 789-791
    • Minc, H.1
  • 11
    • 0001444508 scopus 로고
    • The solution of Van der Waerden's problem for permanents
    • G. P. Egoritchev, The solution of Van der Waerden's problem for permanents, Adv. Math., 42 (1981), 299-305.
    • (1981) Adv. Math. , vol.42 , pp. 299-305
    • Egoritchev, G.P.1
  • 12
    • 0001255036 scopus 로고
    • A proof of the Van der Waerden conjecture on the permanent of a doubly stochastic matrix
    • Russian
    • D. I. Falikman, A proof of the Van der Waerden conjecture on the permanent of a doubly stochastic matrix, Mat. Zametki, 29 (1981), 931-938 (Russian). (English translation: Math. Notes of the Academy of Science of the USSR, 29 (1981), 475-479.)
    • (1981) Mat. Zametki , vol.29 , pp. 931-938
    • Falikman, D.I.1
  • 13
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    • English translation
    • D. I. Falikman, A proof of the Van der Waerden conjecture on the permanent of a doubly stochastic matrix, Mat. Zametki, 29 (1981), 931-938 (Russian). (English translation: Math. Notes of the Academy of Science of the USSR, 29 (1981), 475-479.)
    • (1981) Math. Notes of the Academy of Science of the USSR , vol.29 , pp. 475-479
  • 16
    • 0004258018 scopus 로고
    • D. Reidel Publishing Company, Holland
    • L. Comtet, Advanced Combinatorics, D. Reidel Publishing Company, Holland, 1974, p. 183.
    • (1974) Advanced Combinatorics , pp. 183
    • Comtet, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.