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» Combinatorial complexity in O-minimal geometry
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COMPGEOM
2009
ACM
14 years 2 months ago
Epsilon nets and union complexity
We consider the following combinatorial problem: given a set of n objects (for example, disks in the plane, triangles), and an integer L ≥ 1, what is the size of the smallest su...
Kasturi R. Varadarajan
COMPGEOM
2010
ACM
14 years 21 days ago
On the complexity of sets of free lines and line segments among balls in three dimensions
We present two new fundamental lower bounds on the worst-case combinatorial complexity of sets of free lines and sets of maximal free line segments in the presence of balls in thr...
Marc Glisse, Sylvain Lazard
COCOA
2007
Springer
14 years 1 months ago
Fundamental Domains for Integer Programs with Symmetries
We define a fundamental domain for a linear programming relaxation of a combinatorial integer program which is symmetric under a group action. We then describe a straightforward w...
Eric J. Friedman
IMR
2003
Springer
14 years 24 days ago
Topology Modification of Hexahedral Meshes Using Atomic Dual-based Operations
Topology modification of hexahedral meshes has been considered difficult due to the propagation of topological modifications non-locally. We address this problem by working in the...
Timothy J. Tautges, Sarah E. Knoop
COMPGEOM
2005
ACM
13 years 9 months ago
Stability of persistence diagrams
The persistence diagram of a real-valued function on a topological space is a multiset of points in the extended plane. We prove that under mild assumptions on the function, the p...
David Cohen-Steiner, Herbert Edelsbrunner, John Ha...