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Volumn 75, Issue 1, 1999, Pages 116-133

A Pattern of Asymptotic Vertex Valency Distributions in Planar Maps

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EID: 0001292619     PISSN: 00958956     EISSN: None     Source Type: Journal    
DOI: 10.1006/jctb.1998.1870     Document Type: Article
Times cited : (34)

References (19)
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    • Bender, E.A.1    Canfield, E.R.2
  • 4
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    • Almost all rooted maps have large representability
    • Bender E A, Gao Zh, Richmond L B. Almost all rooted maps have large representability. J. Graph Theory. 18:1994;545-555.
    • (1994) J. Graph Theory , vol.18 , pp. 545-555
    • Bender, E.A.1    Gao, Z.2    Richmond, L.B.3
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    • 0012806527 scopus 로고
    • The number of loopless planar maps
    • Bender E A, Wormald N C. The number of loopless planar maps. Discrete Math. 54:1985;235-237.
    • (1985) Discrete Math. , vol.54 , pp. 235-237
    • Bender, E.A.1    Wormald, N.C.2
  • 8
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    • Analytical and numerical study of a model of dynamically triangulated random surfaces
    • Boulatov D V, Kazakov V A, Kostov I K, Migdal A A. Analytical and numerical study of a model of dynamically triangulated random surfaces. Nuclear Phys. Ser. B. 275:1986;641-686.
    • (1986) Nuclear Phys. Ser. B , vol.275 , pp. 641-686
    • Boulatov, D.V.1    Kazakov, V.A.2    Kostov, I.K.3    Migdal, A.A.4
  • 9
    • 0001875877 scopus 로고
    • Enumeration of ordered trees
    • Dershowitz N, Zaks S. Enumeration of ordered trees. Discrete Math. 31:1980;9-28.
    • (1980) Discrete Math. , vol.31 , pp. 9-28
    • Dershowitz, N.1    Zaks, S.2
  • 12
    • 38248998905 scopus 로고
    • A pattern for the asymptotic number of rooted maps on surfaces
    • Gao Zh. A pattern for the asymptotic number of rooted maps on surfaces. J. Combin. Theory Ser. A. 64:1993;246-264.
    • (1993) J. Combin. Theory Ser. A , vol.64 , pp. 246-264
    • Gao, Z.1
  • 13
    • 21844523915 scopus 로고
    • Root vertex valency distributions of rooted maps and rooted triangulations
    • Gao Zh, Richmond L B. Root vertex valency distributions of rooted maps and rooted triangulations. European J. Combin. 15:1994;483-490.
    • (1994) European J. Combin. , vol.15 , pp. 483-490
    • Gao, Z.1    Richmond, L.B.2
  • 15
    • 0242353783 scopus 로고
    • Equivalence of the two-dimensional directed animal problem to a one-dimensional path problem
    • Gouyou-Beauchamps D, Viennot G. Equivalence of the two-dimensional directed animal problem to a one-dimensional path problem. Adv. Appl. Math. 9:1988;334-357.
    • (1988) Adv. Appl. Math. , vol.9 , pp. 334-357
    • Gouyou-Beauchamps, D.1    Viennot, G.2
  • 17
    • 0030549660 scopus 로고    scopus 로고
    • Some asymptotical estimates for planar Eulerian maps
    • Liskovets V A. Some asymptotical estimates for planar Eulerian maps. Combin. Probab. Comput. 5:1996;131-138.
    • (1996) Combin. Probab. Comput. , vol.5 , pp. 131-138
    • Liskovets, V.A.1
  • 19
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    • A bijective proof of an identity concerning nodes of fixed degree in planted plane trees
    • J, W, Moon, H, Prodinger, A bijective proof of an identity concerning nodes of fixed degree in planted plane trees, Ars Combin.
    • Ars Combin.
    • Moon, J.W.1    Prodinger, H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.