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COMPUTER SCIENCE COLLOQUIUM

On Flips in Triangulations

Prosenjit Bose
School of Computer Science
Carleton University, Canada

Tuesday, July 1, 2008, at 14:15
IMADA's Seminar Room

ABSTRACT

We review a selection of results concerning edge flips in triangulations, concentrating mainly on various aspects of the following problem: Given two different triangulations, how many edge flips are necessary and sufficient to transform one triangulation into another. We study the problem both from a combinatorial perspective (where only a combinatorial embedding of the triangulation is specified) and a geometric perspective (where the triangulation is embedded in the plane, vertices are points and edges are straight-line segments.). We highlight both the similarities and differences of the two settings. Time permitting, we will also touch upon other variations on this theme.

Host: Rolf Fagerberg


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