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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2016 Number 1, Pages 9–16 (Mi vmumm116)

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.

UDC: 514.174.5

Received: 25.03.2015


 English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2016, 71:1, 7–14

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