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COMPGEOM
2006
ACM
14 years 3 months ago
Colored intersection searching via sparse rectangular matrix multiplication
In a Batched Colored Intersection Searching Problem (CI), one is given a set of n geometric objects (of a certain class). Each object is colored by one of c colors, and the goal i...
Haim Kaplan, Micha Sharir, Elad Verbin
DM
2010
89views more  DM 2010»
13 years 9 months ago
Polynomial-time dualization of r-exact hypergraphs with applications in geometry
Let H 2V be a hypergraph on vertex set V . For a positive integer r, we call H r-exact, if any minimal transversal of H intersects any hyperedge of H in at most r vertices. This ...
Khaled M. Elbassioni, Imran Rauf
SODA
2004
ACM
115views Algorithms» more  SODA 2004»
13 years 10 months ago
Minimizing the stabbing number of matchings, trees, and triangulations
The (axis-parallel) stabbing number of a given set of line segments is the maximum number of segments that can be intersected by any one (axis-parallel) line. We investigate probl...
Sándor P. Fekete, Marco E. Lübbecke, H...
COMPGEOM
2003
ACM
14 years 2 months ago
The smallest enclosing ball of balls: combinatorial structure and algorithms
We develop algorithms for computing the smallest enclosing ball of a set of n balls in d-dimensional space. Unlike previous methods, we explicitly address small cases (n ≤ d + 1...
Kaspar Fischer, Bernd Gärtner
WADS
1997
Springer
89views Algorithms» more  WADS 1997»
14 years 1 months ago
Intractability of Assembly Sequencing: Unit Disks in the Plane
We consider the problem of removing a given disk from a collection of unit disks in the plane. At each step, we allow a disk to be removed by a collision-free translation to infin...
Michael H. Goldwasser, Rajeev Motwani