@article{10902/27546, year = {2010}, url = {https://hdl.handle.net/10902/27546}, abstract = {We consider whether any two triangulations of a polygon or a point set on a nonplanar 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.}, organization = {The research of this author was partially supported by MTM2008-04699-C03-02.}, publisher = {Society for Industrial and Applied Mathematics}, publisher = {SIAM Journal on Discrete Mathematics, 2010, 24(3), 821-840}, title = {Transforming triangulations on nonplanar surfaces}, author = {Cortés, C. and Grima, C.I. and Hurtado F. and Márquez, A. and Santos, Francisco and Valenzuela, J.}, }