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Journal of the Australian Mathematical Society
Volumn 60, Issue 1, 1996, Pages 31-41
Asymptotic properties of rooted 3-connected maps on surfaces
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EID: 0040834638     PISSN: 14467887     EISSN: None     Source Type: Journal    
DOI: 10.1017/s144678870003737x     Document Type: Article
Times cited : (10)
References (14)
  • 1
    • 0001475475 scopus 로고
    • The asymptotic number of rooted maps on a surface
    • E. A. Bender and E. R. Canfield, 'The asymptotic number of rooted maps on a surface', J. Combin. Theory Ser. A 43 (1986), 244-257.
    • (1986) J. Combin. Theory Ser. A , vol.43 , pp. 244-257
    • Bender, E.A.1    Canfield, E.R.2
  • 2
    • 0001662275 scopus 로고
    • The enumeration of maps on the torus and projective plane
    • E. A. Bender, E. R. Canfield and R. W. Robinson, 'The enumeration of maps on the torus and projective plane', Canad. Math. Bull. 31 (1988), 257-271.
    • (1988) Canad. Math. Bull. , vol.31 , pp. 257-271
    • Bender, E.A.1    Canfield, E.R.2    Robinson, R.W.3
  • 4
    • 84987453003 scopus 로고
    • Almost all rooted maps have large representativities
    • _, 'Almost all rooted maps have large representativities', J. Graph Theory 18 (1994), 545-555.
    • (1994) J. Graph Theory , vol.18 , pp. 545-555
  • 5
    • 0001324086 scopus 로고
    • The asymptotic number of rooted nonseparable maps on a surface
    • E. A. Bender and N. C. Wormald, 'The asymptotic number of rooted nonseparable maps on a surface', J. Combin. Theory Ser. A 49 (1988), 370-380.
    • (1988) J. Combin. Theory Ser. A , vol.49 , pp. 370-380
    • Bender, E.A.1    Wormald, N.C.2
  • 6
    • 0000786389 scopus 로고
    • Enumeration of quadrangular dissections of the disk
    • W. G. Brown, 'Enumeration of quadrangular dissections of the disk', Canad. J. Math. 17 (1965), 302-317.
    • (1965) Canad. J. Math. , vol.17 , pp. 302-317
    • Brown, W.G.1
  • 7
    • 38248998905 scopus 로고
    • A pattern for the asymptotic number of rooted maps on surfaces
    • Z. C. Gao, '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.C.1
  • 8
    • 0000962228 scopus 로고
    • The enumeration of c-nets via quadrangulations
    • R. C. Mullin and P. J. Schellenberg, 'The enumeration of c-nets via quadrangulations', J. Combin. Theory 4 (1968), 259-276.
    • (1968) J. Combin. Theory , vol.4 , pp. 259-276
    • Mullin, R.C.1    Schellenberg, P.J.2
  • 10
    • 0000751282 scopus 로고
    • Representativity of surface embeddings
    • N. Robertson and R. Vitray, 'Representativity of surface embeddings', Algorithms Combin. 9 (1990), 293-328.
    • (1990) Algorithms Combin. , vol.9 , pp. 293-328
    • Robertson, N.1    Vitray, R.2
  • 12
    • 0000693589 scopus 로고
    • A census of planar maps
    • _, 'A census of planar maps', Canad. J. Math. 15 (1963), 249-271.
    • (1963) Canad. J. Math. , vol.15 , pp. 249-271
  • 13
    • 0001270387 scopus 로고
    • Congruent graphs and the connectivity of graphs
    • H. Whitney, 'Congruent graphs and the connectivity of graphs', Amer. J. Math. 54 (1932), 150-168.
    • (1932) Amer. J. Math. , vol.54 , pp. 150-168
    • Whitney, H.1
  • 14
    • 0040656039 scopus 로고
    • Enumeration of labelled graphs I: 3-connected graphs
    • N. C. Wormald, 'Enumeration of labelled graphs I: 3-connected graphs', J. London Math. Soc. (2) 19 (1979), 7-12.
    • (1979) J. London Math. Soc. (2) , vol.19 , pp. 7-12
    • Wormald, N.C.1

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.