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Irreducible Triangulations of Surfaces with Boundary

✍ Scribed by Alexandre Boulch, Éric Colin de Verdière, Atsuhiro Nakamoto


Book ID
120788784
Publisher
Springer Japan
Year
2012
Tongue
English
Weight
360 KB
Volume
29
Category
Article
ISSN
0911-0119

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📜 SIMILAR VOLUMES


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In this note we show that, for any surface 7 and any k, there are at most finitely many triangulations of 7 such that each edge is in a noncontractible cycle of length k and is in no shorter noncontractible cycle. Such a triangulation is k-irreducible. This is equivalent to the statement that for an

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We determine the complete list of the irreducible triangulations of the Klein bottle, up to equivalence, analyzing their structures. 1997 Academic Press ## 1. Introduction A triangulation of a closed surface is a simple graph embedded on the surface so that each face is triangular and that any tw