Transforming triangulations on non planar-surfaces

Details Transforming triangulations on non planar-surfaces Transforming triangulations on non planar-surfaces

2003-11-13

arxiv.org/abs/math/0311228v2

SIAM J. Discrete Math. 24:3 (2010), 821-840

Mathematics

Metric Geometry

19 pages, 17 figures. This version has been accepted in the SIAM Journal on Discrete Mathematics. Keywords: Graph of triangula

Scientific paper

10.1137/070697987

We consider whether any two triangulations of a polygon or a point set on a
non-planar surface with a given metric can be transformed into each other by a
sequence of edge flips. The answer is negative in general with some remarkable
exceptions, such as polygons on the cylinder, and on the flat torus, and
certain configurations of points on the cylinder.

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