Boxer, L. (1999). A classical construction for the digital fundamental group, Journal of Mathematical Imaging and Vision 10(1): 51-62.10.1023/A:1008370600456Search in Google Scholar

Boxer, L. (2006). Digital products, wedge, and covering spaces, Journal of Mathematical Imaging and Vision 25(2): 159-171.10.1007/s10851-006-9698-5Search in Google Scholar

Boxer, L. and Karaca, I. (2008). The classification of digital covering spaces, Journal of Mathematical Imaging and Vision 32(1): 23-29.10.1007/s10851-008-0088-zSearch in Google Scholar

Han, S. E. (2003). Computer topology and its applications, Honam Mathematical Journal 25(1): 153-162.Search in Google Scholar

Han, S. E. (2005a). Algorithm for discriminating digital images w.r.t. a digital (k0, k1)-homeomorphism, Journal of Applied Mathematics and Computing 18(1-2): 505-512.Search in Google Scholar

Han, S. E. (2005b). Digital coverings and their applications, Journal of Applied Mathematics and Computing 18(1-2): 487-495.Search in Google Scholar

Han, S. E. (2005c). Non-product property of the digital fundamental group, Information Sciences 171 (1-3): 73-91.10.1016/j.ins.2004.03.018Search in Google Scholar

Han, S. E. (2005d). On the simplicial complex stemmed from a digital graph, Honam Mathematical Journal 27(1): 115-129.Search in Google Scholar

Han, S. E. (2006a). Connected sum of digital closed surfaces, Information Sciences 176(3): 332-348.10.1016/j.ins.2004.11.003Search in Google Scholar

Han, S. E. (2006b). Discrete Homotopy of a Closed k-Surface, Lecture Notes in Computer Science, Vol. 4040, Springer-Verlag, Berlin, pp. 214-225.Search in Google Scholar

Han, S. E. (2006c). Erratum to "Non-product property of the digital fundamental group", Information Sciences 176(1): 215-216.10.1016/j.ins.2005.03.014Search in Google Scholar

Han, S. E. (2006d). Minimal simple closed 18-surfaces and a topological preservation of 3D surfaces, Information Sciences 176(2): 120-134.10.1016/j.ins.2005.01.002Search in Google Scholar

Han, S. E. (2007a). Strong k-deformation retract and its applications, Journal of the Korean Mathematical Society 44(6): 1479-1503.10.4134/JKMS.2007.44.6.1479Search in Google Scholar

Han, S. E. (2007b). The k-fundamental group of a closed ksurface, Information Sciences 177(18): 3731-3748.10.1016/j.ins.2007.02.031Search in Google Scholar

Han, S. E. (2008a). Comparison among digital fundamental groups and its applications, Information Sciences 178(8): 2091-2104.10.1016/j.ins.2007.11.030Search in Google Scholar

Han, S. E. (2008b). Equivalent (k0, k1)-covering and generalized digital lifting, Information Sciences 178(2): 550-561.10.1016/j.ins.2007.02.004Search in Google Scholar

Han, S. E. (2008c). Map preserving local properties of a digital image, Acta Applicandae Mathematicae 104(2): 177-190.10.1007/s10440-008-9250-2Search in Google Scholar

Han, S. E. (2008d). The k-homotopic thinning and a torus-like digital image in Zn, Journal of Mathematical Imaging and Vision 31(1): 1-16.10.1007/s10851-007-0061-2Search in Google Scholar

Han, S. E. (2009a). Cartesian product of the universal covering property, Acta Applicandae Mathematicae 108(2): 363-383.10.1007/s10440-008-9316-1Search in Google Scholar

Han, S. E. (2009b). Regural covering space in digital covering theory and its applications, Honam Mathematical Journal 31(3): 279-292.10.5831/HMJ.2009.31.3.279Search in Google Scholar

Han, S. E. (2009c). Remark on a generalized universal covering space, Honam Mathematical Journal 31(3): 267-278.10.5831/HMJ.2009.31.3.267Search in Google Scholar

Han, S. E. (2010a). Existence problem of a generalized universal covering space, Acta Applicandae Mathematicae 109(3): 805-827.10.1007/s10440-008-9347-7Search in Google Scholar

Han, S. E. (2010b). Multiplicative property of the digital fundamental group, Acta Applicandae Mathematicae 110(2): 921-944.10.1007/s10440-009-9486-5Search in Google Scholar

Han, S. E. (2010c). KD-(k0, k1)-homotopy equivalence and its applications, Journal of the Korean Mathematical Society 47(5): 1031-1054.10.4134/JKMS.2010.47.5.1031Search in Google Scholar

Han, S. E. (2010d). Properties of a digital covering space and discrete Deck's transformation group, The IMA Journal of Applied Mathematics, (submitted).Search in Google Scholar

Khalimsky, E. (1987). Motion, deformation, and homotopy in finite spaces, Proceedings of IEEE International Conferences on Systems, Man, and Cybernetics, pp. 227-234.Search in Google Scholar

Kim I.-S., and Han, S. E. (2008). Digital covering theory and its applications, Honam Mathematical Journal 30(4): 589-602.10.5831/HMJ.2008.30.4.589Search in Google Scholar

Kong, T. Y. and Rosenfeld, A. (1996). Topological Algorithms for the Digital Image Processing, Elsevier Science, Amsterdam.Search in Google Scholar

Malgouyres, R. and Lenoir, A. (2000). Topology preservation within digital surfaces, Graphical Models 62(2): 71-84.10.1006/gmod.1999.0517Search in Google Scholar

Massey, W. S. (1977). Algebraic Topology, Springer-Verlag, New York, NY.Search in Google Scholar

Rosenfeld, A. (1979). Digital topology, American Mathematical Monthly 86: 76-87.10.1016/S0019-9958(79)90353-XSearch in Google Scholar

Rosenfeld, A. and Klette, R. (2003). Digital geometry, Information Sciences 148: 123-127.10.1016/S0020-0255(02)00284-0Search in Google Scholar

Spanier, E. H. (1966). Algebraic Topology, McGraw-Hill Inc., New York, NY.Search in Google Scholar

ISSN:
1641-876X
Language:
English
Publication timeframe:
4 times per year
Journal Subjects:
Mathematics, Applied Mathematics