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Volumn 76, Issue 1, 1999, Pages 68-92

Diagonal Flips in Triangulations on Closed Surfaces with Minimum Degree at Least 4

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EID: 0346096937     PISSN: 00958956     EISSN: None     Source Type: Journal    
DOI: 10.1006/jctb.1998.1889     Document Type: Article
Times cited : (24)

References (33)
  • 2
    • 0038580932 scopus 로고
    • Generating the triangulations of the projective plane
    • Barnette D. W. Generating the triangulations of the projective plane. J. Combin. Theory Ser. B. 33:1982;222-230.
    • (1982) J. Combin. Theory Ser. B , vol.33 , pp. 222-230
    • Barnette, D.W.1
  • 3
    • 51249173602 scopus 로고
    • All 2-manifolds have finitely many minimal triangulations
    • Barnette D. W., Edelson A. L. All 2-manifolds have finitely many minimal triangulations. Israel J. Math. 67:1989;123-128.
    • (1989) Israel J. Math. , vol.67 , pp. 123-128
    • Barnette, D.W.1    Edelson, A.L.2
  • 4
    • 0030295408 scopus 로고    scopus 로고
    • Diagonal flips of triangulations on closed surfaces preserving specified properties
    • Brunet R., Nakamoto A., Negami S. Diagonal flips of triangulations on closed surfaces preserving specified properties. J. Combin. Theory Ser. B. 68:1996;295-309.
    • (1996) J. Combin. Theory Ser. B , vol.68 , pp. 295-309
    • Brunet, R.1    Nakamoto, A.2    Negami, S.3
  • 5
    • 84971113760 scopus 로고
    • A finite set of generators for the homeotopy group of a non-orientable surface
    • Chillingworth D. R. J. A finite set of generators for the homeotopy group of a non-orientable surface. Math. Proc. Cambridge Philos. Soc. 65:1969;409-430.
    • (1969) Math. Proc. Cambridge Philos. Soc. , vol.65 , pp. 409-430
    • Chillingworth, D.R.J.1
  • 6
    • 0011498559 scopus 로고
    • Wagner's theorem for the torus graphs
    • Dewdney A. K. Wagner's theorem for the torus graphs. Discrete Math. 4:1973;139-149.
    • (1973) Discrete Math. , vol.4 , pp. 139-149
    • Dewdney, A.K.1
  • 10
    • 0007419852 scopus 로고    scopus 로고
    • The diagonal flips of triangulations on the sphere
    • Komuro H. The diagonal flips of triangulations on the sphere. Yokohama Math. J. 44:1997;115-122.
    • (1997) Yokohama Math. J. , vol.44 , pp. 115-122
    • Komuro, H.1
  • 11
    • 0010852649 scopus 로고
    • The irreducible triangulations of the torus
    • Lawrencenko S. The irreducible triangulations of the torus. Ukrain. Geom. Sb. 30:1987;52-62.
    • (1987) Ukrain. Geom. Sb. , vol.30 , pp. 52-62
    • Lawrencenko, S.1
  • 12
    • 0040238652 scopus 로고    scopus 로고
    • Irreducible triangulations of the Klein bottle
    • Lawrencenko S., Negami S. Irreducible triangulations of the Klein bottle. J. Combin. Theory Ser. B. 70:1997;265-291.
    • (1997) J. Combin. Theory Ser. B , vol.70 , pp. 265-291
    • Lawrencenko, S.1    Negami, S.2
  • 13
    • 0001657907 scopus 로고
    • Three nonisomorphic triangulations of an orientable surface with the same complete graph
    • Lawrencenko S., Negami S., White A. T. Three nonisomorphic triangulations of an orientable surface with the same complete graph. Discrete Math. 135:1994;367-369.
    • (1994) Discrete Math. , vol.135 , pp. 367-369
    • Lawrencenko, S.1    Negami, S.2    White, A.T.3
  • 15
    • 84976048299 scopus 로고
    • A finite set of generators for the homeotopy group of a 2-manifold
    • Lickorish W. B. R. A finite set of generators for the homeotopy group of a 2-manifold. Math. Proc. Cambridge Philos Soc. 60:1964;769-778.
    • (1964) Math. Proc. Cambridge Philos Soc. , vol.60 , pp. 769-778
    • Lickorish, W.B.R.1
  • 16
    • 84971124030 scopus 로고
    • A finite set of generators for the homeotopy group of a 2-manifold (corrigendum)
    • Lickorish W. B. R. A finite set of generators for the homeotopy group of a 2-manifold (corrigendum). Math. Proc. Cambridge Philos. Soc. 62:1966;679-681.
    • (1966) Math. Proc. Cambridge Philos. Soc. , vol.62 , pp. 679-681
    • Lickorish, W.B.R.1
  • 17
    • 84987493218 scopus 로고
    • Note on irreducible triangulations of surfaces
    • Nakamoto A., Ota K. Note on irreducible triangulations of surfaces. J. Graph Theory. 20:1995;227-233.
    • (1995) J. Graph Theory , vol.20 , pp. 227-233
    • Nakamoto, A.1    Ota, K.2
  • 19
    • 1542580478 scopus 로고    scopus 로고
    • Diagonal transformations in quadrangulations of surfaces
    • Nakamoto A. Diagonal transformations in quadrangulations of surfaces. J. Graph Theory. 21:1996;289-299.
    • (1996) J. Graph Theory , vol.21 , pp. 289-299
    • Nakamoto, A.1
  • 20
    • 0030188097 scopus 로고    scopus 로고
    • Diagonal transformations and cycle parities of quadrangulations on surfaces
    • Nakamoto A. Diagonal transformations and cycle parities of quadrangulations on surfaces. J. Combin. Theory Ser. B. 67:1996;202-211.
    • (1996) J. Combin. Theory Ser. B , vol.67 , pp. 202-211
    • Nakamoto, A.1
  • 21
    • 0040655281 scopus 로고    scopus 로고
    • Diagonal transformations in quadrangulations and Dehn twists preserving cycle parities
    • Nakamoto A., Ota K. Diagonal transformations in quadrangulations and Dehn twists preserving cycle parities. J. Combin. Theory Ser. B. 69:1997;125-141.
    • (1997) J. Combin. Theory Ser. B , vol.69 , pp. 125-141
    • Nakamoto, A.1    Ota, K.2
  • 22
    • 0040058700 scopus 로고    scopus 로고
    • Diagonal transformations of graphs and Dehn twists of surfaces
    • Nakamoto A., Ota K. Diagonal transformations of graphs and Dehn twists of surfaces. J. Combin. Theory Ser. B. 70:1997;292-300.
    • (1997) J. Combin. Theory Ser. B , vol.70 , pp. 292-300
    • Nakamoto, A.1    Ota, K.2
  • 24
    • 0001008278 scopus 로고
    • Uniqueness and faithfulness of embedding of toroidal graphs
    • Negami S. Uniqueness and faithfulness of embedding of toroidal graphs. Discrete Math. 44:1983;161-180.
    • (1983) Discrete Math. , vol.44 , pp. 161-180
    • Negami, S.1
  • 25
    • 0011454541 scopus 로고
    • Diagonal transformations of triangulations on surfaces
    • Negami S., Watanabe S. Diagonal transformations of triangulations on surfaces. Tsukuba J. Math. 14:1990;155-166.
    • (1990) Tsukuba J. Math. , vol.14 , pp. 155-166
    • Negami, S.1    Watanabe, S.2
  • 26
    • 0011499729 scopus 로고
    • Diagonal flips in triangulations of surfaces
    • Negami S. Diagonal flips in triangulations of surfaces. Discrete Math. 135:1994;225-232.
    • (1994) Discrete Math. , vol.135 , pp. 225-232
    • Negami, S.1
  • 28
    • 0347252702 scopus 로고    scopus 로고
    • Diagonal flips in triangulations on closed surfaces, estimating upper bounds
    • Negami S. Diagonal flips in triangulations on closed surfaces, estimating upper bounds. Yokohama Math. J. 45:1998;113-124.
    • (1998) Yokohama Math. J. , vol.45 , pp. 113-124
    • Negami, S.1
  • 33
    • 0001855349 scopus 로고
    • Bemerkungen zum Vierfarbenproblem
    • Wagner K. Bemerkungen zum Vierfarbenproblem. J. Deut. Math. 46:1936;26-32.
    • (1936) J. Deut. Math. , vol.46 , pp. 26-32
    • Wagner, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.