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On triangulations of surfaces

✍ Scribed by Allen Hatcher

Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
663 KB
Volume
40
Category
Article
ISSN
0166-8641

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πŸ“œ SIMILAR VOLUMES

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## Abstract In this paper, we shall show that an irreducible triangulation of a closed surface __F__^2^ has at most __cg__ vertices, where __g__ stands for a genus of __F__^2^ and __c__ a constant. Β© 1995, John Wiley & Sons, Inc.

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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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It will be shown that any two triangulations of a closed surface can be transformed into each other by flipping diagonals in quadrilaterals if they have a sufficiently large and equal number of vertices.