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ESA
2008
Springer
159views Algorithms» more  ESA 2008»
15 years 3 months ago
Cache-Oblivious Red-Blue Line Segment Intersection
We present an optimal cache-oblivious algorithm for finding all intersections between a set of non-intersecting red segments and a set of non-intersecting blue segments in the plan...
Lars Arge, Thomas Mølhave, Norbert Zeh
128
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CCCG
2010
15 years 3 months ago
Some properties of higher order delaunay and gabriel graphs
We consider two classes of higher order proximity graphs defined on a set of points in the plane, namely, the k-Delaunay graph and the k-Gabriel graph. We give bounds on the follo...
Prosenjit Bose, Sébastien Collette, Ferran ...
102
Voted
JGT
2008
107views more  JGT 2008»
15 years 1 months ago
On planar intersection graphs with forbidden subgraphs
Let C be a family of n compact connected sets in the plane, whose intersection graph G(C) has no complete bipartite subgraph with k vertices in each of its classes. Then G(C) has ...
János Pach, Micha Sharir
CORR
2011
Springer
181views Education» more  CORR 2011»
14 years 9 months ago
On Isolating Points Using Disks
In this paper, we consider the problem of choosing disks (that we can think of as corresponding to wireless sensors) so that given a set of input points in the plane, there exists ...
Matt Gibson, Gaurav Kanade, Kasturi R. Varadarajan
ESA
2008
Springer
115views Algorithms» more  ESA 2008»
15 years 3 months ago
A New Approach to Exact Crossing Minimization
The crossing number problem is to find the smallest number of edge crossings necessary when drawing a graph into the plane. Eventhough the problem is NP-hard, we are interested in ...
Markus Chimani, Petra Mutzel, Immanuel M. Bomze