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Volumn 24, Issue 4, 2004, Pages 420-443

Building uniformly random subtrees

Author keywords

Catalan numbers; Combinatorial structures; Lattice animal; Random generation; Random subtree

Indexed keywords


EID: 11144282667     PISSN: 10429832     EISSN: None     Source Type: Journal    
DOI: 10.1002/rsa.20011     Document Type: Article
Times cited : (30)

References (30)
  • 2
    • 0042689495 scopus 로고    scopus 로고
    • A linear-time algorithm for the generation of trees
    • L. Alonso, J. L. Rémy, and R. Schott, A linear-time algorithm for the generation of trees, Algorithmica 17(2) (1997), 162-182
    • (1997) Algorithmica , vol.17 , Issue.2 , pp. 162-182
    • Alonso, L.1    Rémy, J.L.2    Schott, R.3
  • 5
    • 0346397785 scopus 로고    scopus 로고
    • Random generation of trees and other combinatorial objects
    • E. Barcucci, A. Del Lungo, and E. Pergola, Random generation of trees and other combinatorial objects, Theor Comput Sci 218(2) (1999), 219-232.
    • (1999) Theor Comput Sci , vol.218 , Issue.2 , pp. 219-232
    • Barcucci, E.1    Del Lungo, A.2    Pergola, E.3
  • 6
    • 0028424575 scopus 로고
    • The random generation of directed animals
    • E. Barcucci, R. Pinzani, and R. Sprugnoli, The random generation of directed animals, Theor Comput Sci 127(2) (1994), 333-350.
    • (1994) Theor Comput Sci , vol.127 , Issue.2 , pp. 333-350
    • Barcucci, E.1    Pinzani, R.2    Sprugnoli, R.3
  • 7
    • 0004142253 scopus 로고
    • Cambridge University Press, Cambridge
    • B. Bollobás, Combinatorics, Cambridge University Press, Cambridge, 1986.
    • (1986) Combinatorics
    • Bollobás, B.1
  • 8
    • 0000700530 scopus 로고    scopus 로고
    • Graph homomorphisms and phase transitions
    • G. R. Brightwell and P. Winkler, Graph homomorphisms and phase transitions, J Combin Theory Ser B 77 (1999), 221-262.
    • (1999) J Combin Theory Ser B , vol.77 , pp. 221-262
    • Brightwell, G.R.1    Winkler, P.2
  • 10
    • 0001913658 scopus 로고
    • The cycle lemma and some applications
    • N. Dershowitz and S. Zaks, The cycle lemma and some applications, European J Combin 11 (1990), 35-40.
    • (1990) European J Combin , vol.11 , pp. 35-40
    • Dershowitz, N.1    Zaks, S.2
  • 11
    • 0242337623 scopus 로고    scopus 로고
    • Branching processes
    • Eds. M. Habib, C. McDiarmid, J. Ramirez-Alfonsin, and B. Reed. Springer-Verlag, Berlin
    • L. Devroye, "Branching processes," Probabilistic methods for algorithmic discrete mathematics, Eds. M. Habib, C. McDiarmid, J. Ramirez-Alfonsin, and B. Reed. Springer-Verlag, Berlin, (1998), 249-314.
    • (1998) Probabilistic Methods for Algorithmic Discrete Mathematics , pp. 249-314
    • Devroye, L.1
  • 12
    • 0020192603 scopus 로고
    • The average height of binary trees and other simple trees
    • P. Flajolet and A. M. Odlyzko, The average height of binary trees and other simple trees, J Comput System Sci 25 (1982), 171-213.
    • (1982) J Comput System Sci , vol.25 , pp. 171-213
    • Flajolet, P.1    Odlyzko, A.M.2
  • 13
    • 0028498498 scopus 로고
    • A calculus for the random generation of labelled combinatorial structures
    • P. Flajolet, P. Zimmerman, and B. van Cutsem, A calculus for the random generation of labelled combinatorial structures, Theor Comput Sci 132 (1994), 1-35.
    • (1994) Theor Comput Sci , vol.132 , pp. 1-35
    • Flajolet, P.1    Zimmerman, P.2    Van Cutsem, B.3
  • 14
    • 0008385568 scopus 로고
    • The morphology of partially ordered sets
    • L. H. Harper, The morphology of partially ordered sets, J Combin Theory Ser A 17 (1974), 44-59.
    • (1974) J Combin Theory Ser A , vol.17 , pp. 44-59
    • Harper, L.H.1
  • 15
    • 0142236463 scopus 로고    scopus 로고
    • Ideals in a forest, one-way infinite binary trees and the contraction method
    • Eds. B. Chauvin, P. Flajolet, D. Gardy, and A. Mokkadem, Trends in Mathematics. Birkhäuser, Boston
    • S. Janson, "Ideals in a forest, one-way infinite binary trees and the contraction method," Mathematics and computer science II, Eds. B. Chauvin, P. Flajolet, D. Gardy, and A. Mokkadem, Trends in Mathematics, 393-414. Birkhäuser, Boston, 2001.
    • (2001) Mathematics and Computer Science II , pp. 393-414
    • Janson, S.1
  • 16
    • 0042620319 scopus 로고
    • On an extremal property of antichains in partial orders. The LYM property and some of its implications and applications
    • Combinatorics, Eds. M. Hall and J. van Lint. Mathematical Centre, Amsterdam
    • D. J. Kleitman, "On an extremal property of antichains in partial orders. The LYM property and some of its implications and applications," Combinatorics, Eds. M. Hall and J. van Lint, Math Centre Tracts 56, 77-90. Mathematical Centre, Amsterdam, 1974.
    • (1974) Math Centre Tracts , vol.56 , pp. 77-90
    • Kleitman, D.J.1
  • 18
    • 0041604528 scopus 로고
    • Random mappings
    • New York, (translated from Slučajneye Otobraženija Nauka, Moscow, 1984)
    • V. F. Kolchin, Random mappings, Optimization Software, New York, 1986 (translated from Slučajneye Otobraženija Nauka, Moscow, 1984).
    • (1986) Optimization Software
    • Kolchin, V.F.1
  • 19
    • 11144308967 scopus 로고
    • The infinite self-avoiding walk in high dimensions
    • G. F. Lawler, The infinite self-avoiding walk in high dimensions, Ann Probab 17 (1989), 1367-1376.
    • (1989) Ann Probab , vol.17 , pp. 1367-1376
    • Lawler, G.F.1
  • 21
    • 0000028988 scopus 로고
    • Conceptual proofs of L log L criteria for mean behavior of branching processes
    • R. Lyons, R. Pemantle, and Y. Peres, Conceptual proofs of L log L criteria for mean behavior of branching processes, Ann Probab 23(3) (1995), 1125-1138.
    • (1995) Ann Probab , vol.23 , Issue.3 , pp. 1125-1138
    • Lyons, R.1    Pemantle, R.2    Peres, Y.3
  • 22
  • 24
    • 0042606573 scopus 로고    scopus 로고
    • Enumerations of trees and forests related to branching processes and random walks
    • University of California, Berkeley
    • J. Pitman, Enumerations of trees and forests related to branching processes and random walks, Technical Report No. 482, University of California, Berkeley, 1997.
    • (1997) Technical Report No. 482 , vol.482
    • Pitman, J.1
  • 25
    • 0000623038 scopus 로고
    • Animals, trees and renewal sequences
    • B. M. I. Rands and D. J. A. Welsh, Animals, trees and renewal sequences, J Appl Math 27 (1981), 1-17.
    • (1981) J Appl Math , vol.27 , pp. 1-17
    • Rands, B.M.I.1    Welsh, D.J.A.2
  • 26
    • 11144316169 scopus 로고
    • Animals, trees and renewal sequences: Corrigendum
    • B. M. I. Rands and D. J. A. Welsh, Animals, trees and renewal sequences: corrigendum, J Appl Math 28 (1982), 107.
    • (1982) J Appl Math , vol.28 , pp. 107
    • Rands, B.M.I.1    Welsh, D.J.A.2
  • 27
    • 0001839717 scopus 로고
    • Functional composition patterns and power series reversion
    • G. N. Raney, Functional composition patterns and power series reversion, Trans Amer Math Soc 94 (1960), 441-451.
    • (1960) Trans Amer Math Soc , vol.94 , pp. 441-451
    • Raney, G.N.1
  • 29
    • 0026844062 scopus 로고
    • The generation of binary trees as a numerical problem
    • R. Sprugnoli, The generation of binary trees as a numerical problem, J ACM 39(2) (1992), 317-327.
    • (1992) J ACM , vol.39 , Issue.2 , pp. 317-327
    • Sprugnoli, R.1
  • 30
    • 0003652674 scopus 로고    scopus 로고
    • Cambridge University Press, Cambridge
    • R. P. Stanley, Enumerative combinatorics, Cambridge University Press, Cambridge, 1998, Volume II.
    • (1998) Enumerative Combinatorics , vol.2
    • Stanley, R.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.