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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2016, Number 1, Pages 9–16
(Mi vmumm116)
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Mathematics
Minimal triangulations of two-dimensional manifolds
G. M. Sechkin Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Abstract:
A method allowing one to obtain an upper estimate of the number of different minimal triangulations of manifolds is presented in the paper. All minimal triangulations of the Klein bottle are obtained as an example. An iterative algorithm for construction of the minimal triangulations is also considered.
Key words:
minimal triangulation, graph on the surface, triangulation Klein bottle.
Received: 25.03.2015
Citation:
G. M. Sechkin, “Minimal triangulations of two-dimensional manifolds”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2016, no. 1, 9–16; Moscow University Mathematics Bulletin, 71:1 (2016), 7–14
Linking options:
https://www.mathnet.ru/eng/vmumm116 https://www.mathnet.ru/eng/vmumm/y2016/i1/p9
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