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Volumn 23, Issue 2, 2003, Pages 206-223

On Smallest Triangles

Author keywords

Geometrical probability; Heilbronn triangle problem; Point process; Poisson approximation; Small triangles

Indexed keywords


EID: 0042377450     PISSN: 10429832     EISSN: None     Source Type: Journal    
DOI: 10.1002/rsa.10092     Document Type: Article
Times cited : (5)

References (15)
  • 1
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    • (1984) J R Stat Soc Ser B , vol.46 , pp. 397-402
    • Barbour, A.D.1    Eagleson, G.K.2
  • 3
    • 0012885377 scopus 로고    scopus 로고
    • A lower bound for Heilbronn's triangle problem in d dimensions
    • G. Barequet, A lower bound for Heilbronn's triangle problem in d dimensions, SIAM J Discrete Math 14 (1999), 230-236.
    • (1999) SIAM J Discrete Math , vol.14 , pp. 230-236
    • Barequet, G.1
  • 4
    • 0040006081 scopus 로고
    • Sur quelques théorèmes de calcul integral
    • M. Crofton, Sur quelques théorèmes de calcul integral, C R Hebdomadaires Acad Sci 68 (1869). 1469-1470.
    • (1869) C R Hebdomadaires Acad Sci , vol.68 , pp. 1469-1470
    • Crofton, M.1
  • 8
    • 38249037008 scopus 로고
    • Poisson convergence and Poisson processes with applications to random graphs
    • S. Janson, Poisson convergence and Poisson processes with applications to random graphs, Stochastic Process Appl 26 (1987), 1-30.
    • (1987) Stochastic Process Appl , vol.26 , pp. 1-30
    • Janson, S.1
  • 9
    • 0032221888 scopus 로고    scopus 로고
    • New versions of Suen's correlation inequality
    • S. Janson, New versions of Suen's correlation inequality, Random Structures Algorithms 13 (1998), 467-483.
    • (1998) Random Structures Algorithms , vol.13 , pp. 467-483
    • Janson, S.1
  • 10
    • 0036114716 scopus 로고    scopus 로고
    • The average-case area of Heilbronn-type triangles
    • T. Jiang, M. Li, and P. Vitányi, The average-case area of Heilbronn-type triangles, Random Structures Algorithms 20 (2002), 206-219.
    • (2002) Random Structures Algorithms , vol.20 , pp. 206-219
    • Jiang, T.1    Li, M.2    Vitányi, P.3
  • 13
    • 0242306083 scopus 로고
    • Sur un problème de calcul integral
    • M. J.-A. Serret, Sur un problème de calcul integral, Ann Sci École Norm Sup 6 (1869), 177-183.
    • (1869) Ann Sci École Norm Sup , vol.6 , pp. 177-183
    • Serret, M.J.-A.1
  • 14
    • 0001611740 scopus 로고
    • Short distances, flat triangles and Poisson limits
    • B. Silverman and T. Brown, Short distances, flat triangles and Poisson limits, J Appl Probab 15 (1978), 815-825.
    • (1978) J Appl Probab , vol.15 , pp. 815-825
    • Silverman, B.1    Brown, T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.