2005 | OriginalPaper | Buchkapitel
Reconfiguring Triangulations with Edge Flips and Point Moves
verfasst von : Greg Aloupis, Prosenjit Bose, Pat Morin
Erschienen in: Graph Drawing
Verlag: Springer Berlin Heidelberg
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We examine reconfigurations between triangulations and near-triangulations of point sets, and give new bounds on the number of
point moves
and
edge flips
sufficient for any reconfiguration. We show that with
O
(
n
log
n
) edge flips and point moves, we can transform any geometric near-triangulation on
n
points to any other geometric near-triangulation on
n
possibly different points. This improves the previously known bound of
O
(
n
2
) edge flips and point moves.