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Volumn 186, Issue 1-2, 1997, Pages 1-41

A definition of surfaces of ℤ3 a new 3D discrete Jordan theorem

Author keywords

[No Author keywords available]

Indexed keywords

GRAPH THEORY; THEOREM PROVING;

EID: 0031249338     PISSN: 03043975     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0304-3975(96)00213-7     Document Type: Review
Times cited : (25)

References (16)
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    • (1991) Hermès
    • Chassery, J.M.1    Montanvert, A.2
  • 2
    • 34249767656 scopus 로고
    • Dimension on discrete spaces
    • A. Evako, Dimension on discrete spaces, Internat. J. Theoret. Phys. 33 (1994) 1553-1568.
    • (1994) Internat. J. Theoret. Phys. , vol.33 , pp. 1553-1568
    • Evako, A.1
  • 4
    • 0346410194 scopus 로고
    • Graphes et algorithmes
    • collection de la direction des études et recherches d'Électricité de France
    • M. Gondran and M. Minoux, Graphes et algorithmes, Eyroles 37 (collection de la direction des études et recherches d'Électricité de France), 1985.
    • (1985) Eyroles , vol.37
    • Gondran, M.1    Minoux, M.2
  • 5
    • 38149135359 scopus 로고
    • Discrete multidimentional Jordan surfaces
    • G.T. Herman, Discrete multidimentional Jordan surfaces, CVGIP 54 (1992) 507-515.
    • (1992) CVGIP , vol.54 , pp. 507-515
    • Herman, G.T.1
  • 6
    • 38149146019 scopus 로고
    • Minimal graphs of a torus, a projective plane and spheres. Some properties of minimal graphs of homotopy classes
    • A. Ivashchenko and T.N. Yeh, Minimal graphs of a torus, a projective plane and spheres. Some properties of minimal graphs of homotopy classes, Discrete Math. 126 (1994) 171-178.
    • (1994) Discrete Math. , vol.126 , pp. 171-178
    • Ivashchenko, A.1    Yeh, T.N.2
  • 7
    • 0347671092 scopus 로고
    • Homology groups on graphs. Transformations on graphs which do not change the homology groups of graphs
    • A. Ivashchenko, Homology groups on graphs. Transformations on graphs which do not change the homology groups of graphs. Discrete Math. 126 (1994) 150-170.
    • (1994) Discrete Math. , vol.126 , pp. 150-170
    • Ivashchenko, A.1
  • 8
    • 14744286916 scopus 로고
    • Representation of smooth surfaces by graphs. Transformations of graphs which do not change the Euler characteristic of graphs
    • A. Ivashchenko, Representation of smooth surfaces by graphs. Transformations of graphs which do not change the Euler characteristic of graphs, Discrete Math. 122 (1993) 219-233.
    • (1993) Discrete Math. , vol.122 , pp. 219-233
    • Ivashchenko, A.1
  • 11
    • 51249176102 scopus 로고
    • A Jordan surface theorem for three-dimensional digital spaces
    • R. Kopperman, P.R. Meyer and R.G. Wilson, A Jordan surface theorem for three-dimensional digital spaces, Discrete Comput. Geom. 6 (1991) 155-161.
    • (1991) Discrete Comput. Geom. , vol.6 , pp. 155-161
    • Kopperman, R.1    Meyer, P.R.2    Wilson, R.G.3
  • 12
    • 0345778948 scopus 로고
    • Thesis, Université d'Auvergne, France
    • R. Malgouyres, Thesis, Université d'Auvergne, France, 1994.
    • (1994)
    • Malgouyres, R.1
  • 13
    • 0029322530 scopus 로고
    • Graphs generalizing closed curves with linear construction of the Hamiltonian Cycles
    • R. Malgouyres, Graphs generalizing closed curves with linear construction of the Hamiltonian Cycles, Theoret. Compul. Sci. 143 (1995) 189-249.
    • (1995) Theoret. Compul. Sci. , vol.143 , pp. 189-249
    • Malgouyres, R.1
  • 15
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    • On the characterization of simple closed surfaces in three-dimensional digital images
    • G.M. Reed, On the characterization of simple closed surfaces in three-dimensional digital images, Computer Vision, Graphics, and Image Processing 25 (1984) 226-235.
    • (1984) Computer Vision, Graphics, and Image Processing , vol.25 , pp. 226-235
    • Reed, G.M.1
  • 16
    • 0004209707 scopus 로고
    • Picture Languages, Formal Models for Picture Recognition
    • Academic Press, New York
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    • Rosenfeld, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.