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Volumn 359, Issue 4, 2007, Pages 1555-1575

Crossings and nestings of matchings and partitions

Author keywords

Crossing; Nesting; Partition; Vacillating tableau

Indexed keywords


EID: 34548812442     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9947-06-04210-3     Document Type: Article
Times cited : (204)

References (29)
  • 1
    • 0033443150 scopus 로고    scopus 로고
    • On the distribution of the length of the longest increasing subsequence of random permutations
    • MR1682248 (2000e:05006)
    • J. Baik, P. Deift and K. Johansson, On the distribution of the length of the longest increasing subsequence of random permutations. J. Amer. Math. Soc., 12 (1999), No. 4, 1119-1178. MR1682248 (2000e:05006)
    • (1999) J. Amer. Math. Soc. , vol.12 , Issue.4 , pp. 1119-1178
    • Baik, J.1    Deift, P.2    Johansson, K.3
  • 2
    • 0010152218 scopus 로고    scopus 로고
    • Algebraic aspects of increasing subsequences
    • MR1844203 (2002i:05119)
    • J. Baik and E. Rains, Algebraic aspects of increasing subsequences, Duke Math. J., 109 (2001), No. 1, 1-65. MR1844203 (2002i:05119)
    • (2001) Duke Math. J. , vol.109 , Issue.1 , pp. 1-65
    • Baik, J.1    Rains, E.2
  • 3
    • 0010151103 scopus 로고    scopus 로고
    • The asymptotics of monotone subsequences of involutions
    • MR1845180 (2003e:60016)
    • J. Baik and E. Rains, The asymptotics of monotone subsequences of involutions, Duke Math. J., 109 (2001), 205-282. MR1845180 (2003e:60016)
    • (2001) Duke Math. J. , vol.109 , pp. 205-282
    • Baik, J.1    Rains, E.2
  • 4
    • 0141539998 scopus 로고    scopus 로고
    • Combinatorial representation theory
    • MSRI Publ. 38, Cambridge University Press, Cambridge MR1731814 (2000j:05125)
    • H. Barcelo and A. Ram, Combinatorial representation theory, in New Perspectives in Algebraic Combinatorics (Berkeley, CA, 1996-97), MSRI Publ. 38, Cambridge University Press, Cambridge, 1999, pp. 23-90. MR1731814 (2000j:05125)
    • (1999) New Perspectives in Algebraic Combinatorics (Berkeley, CA, 1996-97) , pp. 23-90
    • Barcelo, H.1    Ram, A.2
  • 5
    • 0001375329 scopus 로고
    • A Schensted-type correspondence for the symplectic group
    • MR0867655 (88b:20027)
    • A. Berele, A Schensted-type correspondence for the symplectic group, J. Combinatorial Theory (A), 43 (1986), 320-328. MR0867655 (88b:20027)
    • (1986) J. Combinatorial Theory (A) , vol.43 , pp. 320-328
    • Berele, A.1
  • 6
    • 0004092833 scopus 로고
    • 3rd ed., Johann Ambrosius Barth, Heidelberg MR1324340 (96b:05108)
    • D. M. Cvetkovic, M. Doob, and H. Sachs, Spectra of Graphs. 3rd ed., Johann Ambrosius Barth, Heidelberg, 1995. MR1324340 (96b:05108)
    • (1995) Spectra of Graphs
    • Cvetkovic, D.M.1    Doob, M.2    Sachs, H.3
  • 7
    • 0000578824 scopus 로고
    • A combinatorial problem connected with differential equations
    • MR0190010 (32:7426)
    • H. Davenport and A. Schinzel, A combinatorial problem connected with differential equations, Amer. J. Math., 87 (1965), 684-694. MR0190010 (32:7426)
    • (1965) Amer. J. Math. , vol.87 , pp. 684-694
    • Davenport, H.1    Schinzel, A.2
  • 10
    • 38249013077 scopus 로고
    • A linear operator for symmetric functions and tableaux in a strip with given trace
    • MR1158782 (93f:05100)
    • I.P.Goulden, A linear operator for symmetric functions and tableaux in a strip with given trace, Discrete Math., 99 (1992), 69-77. MR1158782 (93f:05100)
    • (1992) Discrete Math. , vol.99 , pp. 69-77
    • Goulden, I.P.1
  • 11
    • 0039480031 scopus 로고
    • Standard Young tableaux of height 4 and 5
    • MR0977181 (90b:05013)
    • D. Gouyou-Beauschamps, Standard Young tableaux of height 4 and 5, Europ. J. Combin., 10 (1989), 69-82. MR0977181 (90b:05013)
    • (1989) Europ. J. Combin. , vol.10 , pp. 69-82
    • Gouyou-Beauschamps, D.1
  • 12
    • 0000557786 scopus 로고
    • Random walks in Weyl chambers and the decomposition oftensor powers
    • MR1235279 (94m:05202)
    • D. Grabiner and P. Magyar, Random walks in Weyl chambers and the decomposition oftensor powers, J.Alg.Combinatorics, 2 (1993), 239-260. MR1235279 (94m:05202)
    • (1993) J. Alg. Combinatorics , vol.2 , pp. 239-260
    • Grabiner, D.1    Magyar, P.2
  • 13
    • 0036183731 scopus 로고    scopus 로고
    • Random walk in an alcove of an affine Weyl group, and non-colliding ran-dom walksonaninterval
    • MR1883868 (2002k:60032)
    • D. Grabiner, Random walk in an alcove of an affine Weyl group, and non-colliding ran-dom walksonaninterval, J. Combin. Theory Ser. A, 97 (2002), 285-306. MR1883868 (2002k:60032)
    • (2002) J. Combin. Theory Ser. A , vol.97 , pp. 285-306
    • Grabiner, D.1
  • 14
    • 0000203379 scopus 로고
    • An extension of Schensted's theorem
    • MR0354395 (50:6874)
    • C. Greene, An extension of Schensted's theorem, Adv. Math., 14 (1974), 254-265. MR0354395 (50:6874)
    • (1974) Adv. Math. , vol.14 , pp. 254-265
    • Greene, C.1
  • 15
    • 14644390322 scopus 로고    scopus 로고
    • Partition algebras
    • MR2143201 (2006g:05228)
    • T. Halverson and A. Ram, Partition algebras, European J. of Combinatorics, 26 (2005), No. 6, 869-921. MR2143201 (2006g:05228)
    • (2005) European J. of Combinatorics , vol.26 , Issue.6 , pp. 869-921
    • Halverson, T.1    Ram, A.2
  • 16
    • 33747862610 scopus 로고    scopus 로고
    • RSK insertion for set partitions and diagram algebras, Electron
    • Research Paper 24 MR2195430
    • T. Halverson and T. Lewandowski, RSK insertion for set partitions and diagram algebras, Electron. J. Combin. 11 (2004/06), no. 2, Research Paper 24, 24 pp. MR2195430
    • (2004) J. Combin. , vol.11 , Issue.2 , pp. 24
    • Halverson, T.1    Lewandowski, T.2
  • 17
    • 0038706493 scopus 로고    scopus 로고
    • Bell numbers, their relatives, and algebraic differential equations
    • MR1970977 (2004d:11014)
    • M. Klazar, Bell numbers, their relatives, and algebraic differential equations, J. Combin. Theory Ser. A, 102 (2003), 63-87. MR1970977 (2004d:11014)
    • (2003) J. Combin. Theory Ser. A , vol.102 , pp. 63-87
    • Klazar, M.1
  • 19
    • 84972558120 scopus 로고
    • A map-theoretic approach to Davenport-Schinzel sequences
    • MR0302601 (46:1745)
    • R. C. Mullin and R. C. Stanton, A map-theoretic approach to Davenport-Schinzel sequences, Pacific J. Math., 40 (1972), 167-172. MR0302601 (46:1745)
    • (1972) Pacific J. Math. , vol.40 , pp. 167-172
    • Mullin, R.C.1    Stanton, R.C.2
  • 20
    • 84966215374 scopus 로고
    • The distribution of crossings chords joining pairs of 2n points on a circle
    • MR0366686 (51:2933)
    • J. Riordan, The distribution of crossings chords joining pairs of 2n points on a circle, Math. Computation, 29 (1975), 215-222. MR0366686 (51:2933)
    • (1975) Math. Computation , vol.29 , pp. 215-222
    • Riordan, J.1
  • 21
    • 0001259916 scopus 로고
    • Longest increasing and decreasing subsequences
    • MR0121305 (22:12047)
    • C. E. Schensted, Longest increasing and decreasing subsequences, Canad. J. Math., 13 (1961), 179-191. MR0121305 (22:12047)
    • (1961) Canad. J. Math. , vol.13 , pp. 179-191
    • Schensted, C.E.1
  • 22
    • 84968518314 scopus 로고
    • Differential posets
    • MR0941434 (89h:06005)
    • R. Stanley, Differential posets, J.Amer. Math.Soc., 1 (1988), 919-961. MR0941434 (89h:06005)
    • (1988) J. Amer. Math. Soc. , vol.1 , pp. 919-961
    • Stanley, R.1
  • 23
    • 0003652674 scopus 로고    scopus 로고
    • Wadsworth and Brooks/Cole, Pacific Grove, CA second printing, Cambridge University Press, Cambridge MR1442260 (98a:05001)
    • R. Stanley, Enumerative Combinatorics, vol. 1, Wadsworth and Brooks/Cole, Pacific Grove, CA, 1986; second printing, Cambridge University Press, Cambridge, 1996. MR1442260 (98a:05001)
    • (1986) Enumerative Combinatorics , vol.1
    • Stanley, R.1
  • 24
    • 0003652674 scopus 로고    scopus 로고
    • Cambridge University Press, Cambridge MR1676282 (2000k:05026)
    • R. Stanley, Enumerative Combinatorics, vol. 2, Cambridge University Press, Cambridge, 1999. MR1676282 (2000k:05026)
    • (1999) Enumerative Combinatorics , vol.2
    • Stanley, R.1
  • 26
    • 0001320398 scopus 로고
    • The Cauchy identity for Sp(2n)
    • MR1041446 (91i:05122)
    • S. Sundaram, The Cauchy identity for Sp(2n), J. Combin.TheorySer.A, 53 (1990), 209-238. MR1041446 (91i:05122)
    • (1990) J. Combin. Theory Ser. A , vol.53 , pp. 209-238
    • Sundaram, S.1
  • 27
    • 24444447801 scopus 로고
    • Ballot problems
    • MR0145601 (26:3131)
    • L. Takacs, Ballot problems, Z. Wahrsch. Verw. Gebiete, 1 (1962), 154-158. MR0145601 (26:3131)
    • (1962) Z. Wahrsch. Verw. Gebiete , vol.1 , pp. 154-158
    • Takacs, L.1
  • 28
    • 0002216531 scopus 로고
    • Sur un probleme de configuration et sur les fractions continues
    • MR0046325 (13:716c)
    • J. Touchard, Sur un probleme de configuration et sur les fractions continues, Canad. J. Math., 14 (1952), 2-25. MR0046325 (13:716c)
    • (1952) Canad. J. Math. , vol.14 , pp. 2-25
    • Touchard, J.1


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