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Volumn 12, Issue 4, 1999, Pages 434-458

On the contour of random trees

Author keywords

Branching processes; Brownian excursion; Generating functions; Random trees; Singularity analysis

Indexed keywords


EID: 0009177395     PISSN: 08954801     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0895480195289928     Document Type: Article
Times cited : (15)

References (13)
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    • Aldous, D.J.1
  • 2
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    • The continuum random tree II: An overview
    • M. T. Barlow and. N. H. Bingham, eds., Cambridge University Press, Cambridge, UK
    • D. J. ALDOUS. The continuum random tree II: An overview, in Stochastic Analysis, M. T. Barlow and. N. H. Bingham, eds., Cambridge University Press, Cambridge, UK, 1991, pp. 23-70.
    • (1991) Stochastic Analysis , pp. 23-70
    • Aldous, D.J.1
  • 3
    • 0003296611 scopus 로고
    • The continuum random tree III
    • D. J. ALDOUS, The continuum random tree III, Ann. Probab., 21 (1993), pp. 248-289.
    • (1993) Ann. Probab. , vol.21 , pp. 248-289
    • Aldous, D.J.1
  • 5
    • 0003135359 scopus 로고
    • Asymptotic distributions and a multivariate Darboux method in enumeration problems
    • M. DRMOTA, Asymptotic distributions and a multivariate Darboux method in enumeration problems, J. Combin Theory Ser. A, 67 (1994), pp. 169-184.
    • (1994) J. Combin Theory Ser. A , vol.67 , pp. 169-184
    • Drmota, M.1
  • 6
    • 0003137860 scopus 로고
    • The height distribution of leaves in rooted trees
    • M. DRMOTA, The height distribution of leaves in rooted trees, Discrete Math. Appl., 4 (1994), pp. 45-58 (translated from Diskret. Mat., 6 (1994), pp. 67-82).
    • (1994) Discrete Math. Appl. , vol.4 , pp. 45-58
    • Drmota, M.1
  • 7
    • 0003137860 scopus 로고
    • translated
    • M. DRMOTA, The height distribution of leaves in rooted trees, Discrete Math. Appl., 4 (1994), pp. 45-58 (translated from Diskret. Mat., 6 (1994), pp. 67-82).
    • (1994) Diskret. Mat. , vol.6 , pp. 67-82
  • 8
    • 0029325259 scopus 로고
    • Marking in combinatorial constructions: Generating functions and limiting distributions
    • M. DRMOTA AND M. SORIA, Marking in combinatorial constructions: Generating functions and limiting distributions, Theoret. Comput. Sci., 144 (1995), pp. 67-99.
    • (1995) Theoret. Comput. Sci. , vol.144 , pp. 67-99
    • Drmota, M.1    Soria, M.2
  • 9
    • 0000640693 scopus 로고
    • Singularity analysis of generating functions
    • P. FLAJOLET AND A. ODLYZKO, Singularity analysis of generating functions, SIAM J. Discrete Math., 3 (1990), pp. 216-240.
    • (1990) SIAM J. Discrete Math. , vol.3 , pp. 216-240
    • Flajolet, P.1    Odlyzko, A.2
  • 10
    • 38249012365 scopus 로고
    • The asymptotic contour process of a binary tree is a Brownian excursion
    • W. GUTJAHR AND G. CH. PFLUG, The asymptotic contour process of a binary tree is a Brownian excursion, Stochastic Process. Appl., 41 (1992), pp. 69-89.
    • (1992) Stochastic Process. Appl. , vol.41 , pp. 69-89
    • Gutjahr, W.1    Pflug, G.Ch.2
  • 12
    • 0001270611 scopus 로고
    • On the altitude of nodes in random trees
    • A. MEIR AND J. W. MOON, On the altitude of nodes in random trees, Canad. J. Math., 30 (1978), pp. 997-1015.
    • (1978) Canad. J. Math. , vol.30 , pp. 997-1015
    • Meir, A.1    Moon, J.W.2
  • 13
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    • Average-case analysis of algorithms and data structures
    • J. van Leeuwen, ed., North-Holland, Amsterdam
    • J. S. VITTER AND P. FLAJOLET, Average-case analysis of algorithms and data structures, in Handbook of Theoretical Computer Science, Algorithms and Complexity, Vol. A, J. van Leeuwen, ed., North-Holland, Amsterdam, 1990, pp. 431-524.
    • (1990) Handbook of Theoretical Computer Science, Algorithms and Complexity , vol.A , pp. 431-524
    • Vitter, J.S.1    Flajolet, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.