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Volumn 30, Issue 1-2, 2003, Pages 126-136

Non-P-recursiveness of numbers of matchings or linear chord diagrams with many crossings

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EID: 0038066480     PISSN: 01968858     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0196-8858(02)00528-6     Document Type: Review
Times cited : (17)

References (30)
  • 1
    • 0000970787 scopus 로고
    • On the Vassiliev knot invariants
    • D. Bar-Natan, On the Vassiliev knot invariants, Topology 34 (1995) 423-472.
    • (1995) Topology , vol.34 , pp. 423-472
    • Bar-Natan, D.1
  • 2
    • 85031186203 scopus 로고    scopus 로고
    • http://www.ma.huji.ac.il/drorbn/.
  • 3
    • 0034708002 scopus 로고    scopus 로고
    • Combinatoric explosion of renormalization tamed by Hopf algebra: 30-loop Padé-Borel resummation
    • D.J. Broadhurst, D. Kreimer, Combinatoric explosion of renormalization tamed by Hopf algebra: 30-loop Padé-Borel resummation, Phys. Lett. B 475 (2000) 63-70.
    • (2000) Phys. Lett. B , vol.475 , pp. 63-70
    • Broadhurst, D.J.1    Kreimer, D.2
  • 4
    • 0011476563 scopus 로고    scopus 로고
    • Counting non-isomorphic chord diagrams
    • R. Cori, M. Marcus, Counting non-isomorphic chord diagrams, Theoret. Comput. Sci. 204 (1998) 55-73.
    • (1998) Theoret. Comput. Sci. , vol.204 , pp. 55-73
    • Cori, R.1    Marcus, M.2
  • 6
    • 0038284451 scopus 로고    scopus 로고
    • Analytic combinatorics of chord diagrams
    • D. Krob, A.A. Mikhalev, A.V. Mikhalev (Eds.) 12th International Conference, FPSAC'00, Moscow, Russia, June 2000, Proceedings, Springer-Verlag, Berlin
    • P. Flajolet, M. Noy, Analytic combinatorics of chord diagrams, in: D. Krob, A.A. Mikhalev, A.V. Mikhalev (Eds.), Formal Power Series and Algebraic Combinatorics, 12th International Conference, FPSAC'00, Moscow, Russia, June 2000, Proceedings, Springer-Verlag, Berlin, 2000, pp. 191-201.
    • (2000) Formal Power Series and Algebraic Combinatorics , pp. 191-201
    • Flajolet, P.1    Noy, M.2
  • 7
    • 0003166713 scopus 로고
    • Symmetric functions and P-recursiveness
    • I.M. Gessel, Symmetric functions and P-recursiveness, J. Combin. Theory Ser. A 53 (1990) 257-285.
    • (1990) J. Combin. Theory Ser. A , vol.53 , pp. 257-285
    • Gessel, I.M.1
  • 9
    • 0037947132 scopus 로고
    • Proportions of irreducible diagrams
    • W.N. Hsieh, Proportions of irreducible diagrams, Stud. Appl. Math. 52 (1973) 277-283.
    • (1973) Stud. Appl. Math. , vol.52 , pp. 277-283
    • Hsieh, W.N.1
  • 10
    • 84968510444 scopus 로고
    • The combinatorics of q-Hermite polynomials and the Askey-Wilson integral
    • M.E.H. Ismail, D. Stanton, G. Viennot, The combinatorics of q-Hermite polynomials and the Askey-Wilson integral, European J. Combin. 8 (1987) 379-392.
    • (1987) European J. Combin. , vol.8 , pp. 379-392
    • Ismail, M.E.H.1    Stanton, D.2    Viennot, G.3
  • 11
    • 85031182949 scopus 로고    scopus 로고
    • Counting even and odd partitions
    • in press
    • M. Klazar, Counting even and odd partitions, Amer. Math. Monthly, in press.
    • Amer. Math. Monthly
    • Klazar, M.1
  • 12
    • 0038284450 scopus 로고
    • Proportions of irreducible diagrams
    • D.J. Kleitman, Proportions of irreducible diagrams, Stud. Appl. Math. 49 (1970) 297-299.
    • (1970) Stud. Appl. Math. , vol.49 , pp. 297-299
    • Kleitman, D.J.1
  • 13
    • 0011431902 scopus 로고    scopus 로고
    • Exact number of chord diagrams and estimation of the number of spine diagrams of order n
    • B. Li, H. Sun, Exact number of chord diagrams and estimation of the number of spine diagrams of order n, Chinese Sci. Bull. 42 (1997) 705-718.
    • (1997) Chinese Sci. Bull. , vol.42 , pp. 705-718
    • Li, B.1    Sun, H.2
  • 15
    • 0037947130 scopus 로고
    • The enumeration of connected graphs and linked diagrams
    • A. Nijenhuis, H.S. Wilf, The enumeration of connected graphs and linked diagrams, J. Combin. Theory Ser. A 27 (1979) 356-359.
    • (1979) J. Combin. Theory Ser. A , vol.27 , pp. 356-359
    • Nijenhuis, A.1    Wilf, H.S.2
  • 16
    • 0037711670 scopus 로고
    • Une preuve bijective d'une formule de Touchard Riordan
    • J.-G. Penaud, Une preuve bijective d'une formule de Touchard Riordan, Discrete Math. 139 (1995) 347-360.
    • (1995) Discrete Math. , vol.139 , pp. 347-360
    • Penaud, J.-G.1
  • 17
    • 0037947133 scopus 로고
    • The chord intersection problem
    • R.C. Read, The chord intersection problem, Ann. NY Acad. Sci. 319 (1979) 444-454.
    • (1979) Ann. NY Acad. Sci. , vol.319 , pp. 444-454
    • Read, R.C.1
  • 18
    • 84966215374 scopus 로고
    • The distribution of crossings of chords joining pairs of 2n points on a circle
    • J. Riordan, The distribution of crossings of chords joining pairs of 2n points on a circle, Math. Comp. 29 (1975) 215-222.
    • (1975) Math. Comp. , vol.29 , pp. 215-222
    • Riordan, J.1
  • 20
    • 85031180263 scopus 로고    scopus 로고
    • A fast algorithm for generating non-isomorphic chord diagrams
    • submitted
    • J. Sawada, A fast algorithm for generating non-isomorphic chord diagrams, submitted.
    • Sawada, J.1
  • 21
    • 0000410641 scopus 로고
    • Differentiably finite power series
    • R.P. Stanley, Differentiably finite power series, European J. Combin. 1 (1980) 175-188.
    • (1980) European J. Combin. , vol.1 , pp. 175-188
    • Stanley, R.P.1
  • 22
    • 0003652674 scopus 로고    scopus 로고
    • Cambridge Univ. Press, Cambridge, UK
    • R.P. Stanley, Enumerative Combinatorics, Vol. II, Cambridge Univ. Press, Cambridge, UK, 1999.
    • (1999) Enumerative Combinatorics , vol.2
    • Stanley, R.P.1
  • 23
    • 0038284449 scopus 로고
    • On a class of linked diagrams. I. Enumeration
    • P.R. Stein, On a class of linked diagrams. I. Enumeration, J. Combin. Theory Ser. A 24 (1978) 357-366.
    • (1978) J. Combin. Theory Ser. A , vol.24 , pp. 357-366
    • Stein, P.R.1
  • 24
    • 0038623356 scopus 로고
    • On a class of linked diagrams. II. Asymptotics
    • P.R. Stein, J.A. Everett, On a class of linked diagrams. II. Asymptotics, Discrete Math. 21 (1978) 309-318.
    • (1978) Discrete Math. , vol.21 , pp. 309-318
    • Stein, P.R.1    Everett, J.A.2
  • 25
    • 0038623359 scopus 로고    scopus 로고
    • On enumeration of chord diagrams and asymptotics of Vassiliev invariants
    • PhD thesis, Freie Universität Berlin, Department of Mathematics and Computer Science, Berlin
    • A. Stoimenow, On enumeration of chord diagrams and asymptotics of Vassiliev invariants, PhD thesis, Freie Universität Berlin, Department of Mathematics and Computer Science, Berlin, 1998.
    • (1998)
    • Stoimenow, A.1
  • 26
    • 0032371155 scopus 로고    scopus 로고
    • Enumeration of chord diagrams and upper bound for Vassiliev invariants
    • A. Stoimenow, Enumeration of chord diagrams and upper bound for Vassiliev invariants, J. Knot Theory Ramifications 7 (1998) 93-114.
    • (1998) J. Knot Theory Ramifications , vol.7 , pp. 93-114
    • Stoimenow, A.1
  • 27
    • 0011508783 scopus 로고    scopus 로고
    • On the number of chord diagrams
    • A. Stoimenow, On the number of chord diagrams, Discrete Math. 218 (2000) 209-233.
    • (2000) Discrete Math. , vol.218 , pp. 209-233
    • Stoimenow, A.1
  • 28
    • 0037609098 scopus 로고
    • Sur un problème de configurations
    • J. Touchard, Sur un problème de configurations, C. R. Acad. Sci. Paris 230 (1950) 1997-1998.
    • (1950) C. R. Acad. Sci. Paris , vol.230 , pp. 1997-1998
    • Touchard, J.1
  • 29
    • 0001028071 scopus 로고
    • Contribution à l'étude du problème des timbres-poste
    • J. Touchard, Contribution à l'étude du problème des timbres-poste, Canad. J. Math. 2 (1950) 385-398.
    • (1950) Canad. J. Math. , vol.2 , pp. 385-398
    • Touchard, J.1
  • 30
    • 0002216531 scopus 로고
    • Sur un problème de configurations et sur les fractions continues
    • J. Touchard, Sur un problème de configurations et sur les fractions continues, Canad. J. Math. 4 (1952) 2-25.
    • (1952) Canad. J. Math. , vol.4 , pp. 2-25
    • Touchard, J.1


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