Reference : Simultaneous Flips on Triangulated Surfaces
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
Simultaneous Flips on Triangulated Surfaces
Disarlo, Valentina [Ruprechts Karls Univ, Math Inst, Neuenheimer Feld 205, D-69120 Heidelberg, Germany.]
Parlier, Hugo mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit]
Michigan Mathematical Journal
Michigan Mathematical Journal
Ann Arbor
[en] We investigate a type of distance between triangulations on finite-type surfaces where one moves between triangulations by performing simultaneous flips. We consider triangulations up to homeomorphism, and our main results are upper bounds on the distance between triangulations that only depend on the topology of the surface.
U.S. National Science Foundation [DMS 1107452, 1107263, 1107367]
The second author is grateful to the Mathematics Department of Indiana University for its hospitality during a particularly enjoyable and fruitful research visit when parts of this paper were written. Both authors acknowledge support from U.S. National Science Foundation grants DMS 1107452, 1107263, 1107367 "RNMS: GEometric structures And Representation varieties" (the GEAR Network).

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