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COMPGEOM
2009
ACM
15 years 10 months ago
Minimum cuts and shortest homologous cycles
We describe the first algorithms to compute minimum cuts in surface-embedded graphs in near-linear time. Given an undirected graph embedded on an orientable surface of genus g, w...
Erin W. Chambers, Jeff Erickson, Amir Nayyeri
149
Voted
COMPGEOM
2009
ACM
15 years 8 months ago
The scale axis picture show
We demonstrate how the scale axis transform can be used to compute a parameterized family of shape skeletons. The skeletons gradually represent only the most important features of...
Joachim Giesen, Balint Miklos, Mark Pauly, Camille...
132
Voted
COMPGEOM
2009
ACM
15 years 10 months ago
On the topology of planar algebraic curves
We revisit the problem of computing the topology and geometry of a real algebraic plane curve. The topology is of prime interest but geometric information, such as the position of...
Jinsan Cheng, Sylvain Lazard, Luis Mariano Pe&ntil...
109
Voted
COMPGEOM
2009
ACM
15 years 10 months ago
On grids in topological graphs
A topological graph is a graph drawn in the plane with vertices represented by points and edges as arcs connecting its vertices. A k-grid in a topological graph is a pair of edge ...
Eyal Ackerman, Jacob Fox, János Pach, Andre...
COMPGEOM
2009
ACM
15 years 10 months ago
On the set multi-cover problem in geometric settings
We consider the set multi-cover problem in geometric settings. Given a set of points P and a collection of geometric shapes (or sets) F, we wish to nd a minimum cardinality subse...
Chandra Chekuri, Kenneth L. Clarkson, Sariel Har-P...