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Volumn 4, Issue 1, 2000, Pages 31-44

Permutations avoiding an increasing number of length-increasing forbidden subsequences

Author keywords

Catalan numbers; Forbidden subsequences; Permutations; Schr der numbers

Indexed keywords


EID: 0002540288     PISSN: 13658050     EISSN: 13658050     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (29)

References (39)
  • 4
    • 0012900539 scopus 로고
    • Axel Thue's papers on repetitions in words: Translation
    • J. Berstel, Axel Thue's papers on repetitions in words: translation, Publication du LaCIM 19 (1994).
    • (1994) Publication du LaCIM , vol.19
    • Berstel, J.1
  • 5
    • 0002921232 scopus 로고    scopus 로고
    • Permutations avoiding certain patterns. The case of length 4 and some generalizations
    • M. Bóna, Permutations avoiding certain patterns. The case of length 4 and some generalizations, Discrete Mathematics, 175 (1997) 55-67.
    • (1997) Discrete Mathematics , vol.175 , pp. 55-67
    • Bóna, M.1
  • 6
    • 0000150371 scopus 로고    scopus 로고
    • Exact enumeration of 1342-avoiding permutations; a close link with labelled trees and planar maps
    • M. Bóna, Exact enumeration of 1342-avoiding permutations; a close link with labelled trees and planar maps, Journal of Combinatorial Theory, Ser A, 80 (1997) 257-272.
    • (1997) Journal of Combinatorial Theory, Ser A , vol.80 , pp. 257-272
    • Bóna, M.1
  • 7
    • 0000666279 scopus 로고    scopus 로고
    • Permutations with one or two 132-sequences
    • M. Bona, Permutations with one or two 132-sequences, Discrete Mathematics, 181 (1998) 267-274.
    • (1998) Discrete Mathematics , vol.181 , pp. 267-274
    • Bona, M.1
  • 9
    • 0002314615 scopus 로고    scopus 로고
    • A method for the enumeration of various classes of column-convex polygons
    • M. Bousquet-Mélou, A method for the enumeration of various classes of column-convex polygons, Discrete Mathematics, 154 (1996) 1-25.
    • (1996) Discrete Mathematics , vol.154 , pp. 1-25
    • Bousquet-Mélou, M.1
  • 10
    • 0003228842 scopus 로고    scopus 로고
    • Multi-statistic enumeration of two-stack sortable permutations
    • #R21
    • M. Bousquet-Mélou, Multi-statistic enumeration of two-stack sortable permutations, Electronic Journal of Combinatorics, 5 (1998) #R21.
    • (1998) Electronic Journal of Combinatorics , vol.5
    • Bousquet-Mélou, M.1
  • 11
    • 0000073312 scopus 로고    scopus 로고
    • Forbidden subsequences and Chebyshev polynomials
    • T. Chow, J. West, Forbidden subsequences and Chebyshev polynomials, Discrete Mathematics, 204 (1999) 119-128.
    • (1999) Discrete Mathematics , vol.204 , pp. 119-128
    • Chow, T.1    West, J.2
  • 14
    • 0346088702 scopus 로고
    • Permutations à motifs exclus et cartes planaires non séparables
    • Florence
    • th FPSAC, Florence (1993) 165-178.
    • (1993) th FPSAC , pp. 165-178
    • Dulucq, S.1    Gire, S.2    West, J.3
  • 15
    • 0346204086 scopus 로고
    • Mots de piles, tableaux standards et permutations de Baxter
    • Dimacs
    • th FPSAC, Dimacs (1994) 119-128.
    • (1994) th FPSAC , pp. 119-128
    • Dulucq, S.1    Guibert, O.2
  • 16
    • 0039893101 scopus 로고
    • Institutiones calculi differentialis
    • Verlag von B.G. Teubner, Leipzig
    • L. Euler, Institutiones calculi differentialis, in Opera Omnia, Series Prima, vol. X, Verlag von B.G. Teubner, Leipzig (1913).
    • (1913) Opera Omnia, Series Prima , vol.10
    • Euler, L.1
  • 21
    • 0030209755 scopus 로고    scopus 로고
    • Raney paths and a combinatorial relationship between rooted nonseparable planar maps and two-stack-sortable permutations
    • to appear
    • I. P. Goulden, J. West, Raney paths and a combinatorial relationship between rooted nonseparable planar maps and two-stack-sortable permutations, Journal of Combinatorial Theory, Ser. A (to appear).
    • Journal of Combinatorial Theory, Ser. A
    • Goulden, I.P.1    West, J.2
  • 24
    • 0004205061 scopus 로고
    • Cambridge Univ. Press, Cambridge (1915) reprinted by Chelsea, New York
    • P.A. Macmahon, Combinatory Analysis, vols. 1 and 2, Cambridge Univ. Press, Cambridge (1915) reprinted by Chelsea, New York (1955).
    • (1955) Combinatory Analysis , vol.1-2
    • Macmahon, P.A.1
  • 25
    • 54249127909 scopus 로고    scopus 로고
    • preprint math.CO/9909019
    • 4 (preprint 1999) math.CO/9909019.
    • (1999) 4
    • Mansour, T.1
  • 28
    • 0001363286 scopus 로고    scopus 로고
    • The number of permutations containing exactly one increasing subsequence of length three
    • John Noonan, The number of permutations containing exactly one increasing subsequence of length three, Discrete Mathematics, 152 (1996) 307-313.
    • (1996) Discrete Mathematics , vol.152 , pp. 307-313
    • Noonan, J.1
  • 30
    • 0000145356 scopus 로고
    • Asymptotic values for degrees associated with strips of Young diagrams
    • A. Regev, Asymptotic values for degrees associated with strips of Young diagrams, Advances in Mathematics, 41 (1981) 115-136.
    • (1981) Advances in Mathematics , vol.41 , pp. 115-136
    • Regev, A.1
  • 33
    • 0041527046 scopus 로고
    • Stack sortable permutations
    • D. Rotem, Stack sortable permutations, Discrete Mathematics, 33 (1981) 185-196.
    • (1981) Discrete Mathematics , vol.33 , pp. 185-196
    • Rotem, D.1
  • 35
    • 0000123938 scopus 로고
    • Forbidden Subsequences
    • Z. Stankova, Forbidden Subsequences, Discrete Mathematics, 132 (1994) 291-316.
    • (1994) Discrete Mathematics , vol.132 , pp. 291-316
    • Stankova, Z.1
  • 37
    • 0001566060 scopus 로고
    • Sorting twice through a stack
    • J. West, Sorting twice through a stack, Theoretical Computer Science, 117 (1993) 303-313.
    • (1993) Theoretical Computer Science , vol.117 , pp. 303-313
    • West, J.1
  • 38
    • 0000464149 scopus 로고
    • Generating trees and the Catalan and Schröder numbers
    • J. West, Generating trees and the Catalan and Schröder numbers, Discrete Mathematics, 146 (1995) 247-262.
    • (1995) Discrete Mathematics , vol.146 , pp. 247-262
    • West, J.1
  • 39
    • 0000164922 scopus 로고    scopus 로고
    • Generating trees and forbidden subsequences
    • J. West, Generating trees and forbidden subsequences, Discrete Mathematics, 157 (1996) 363-374.
    • (1996) Discrete Mathematics , vol.157 , pp. 363-374
    • West, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.