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WG
2004
Springer
14 years 3 months ago
A Robust PTAS for Maximum Weight Independent Sets in Unit Disk Graphs
A unit disk graph is the intersection graph of unit disks in the euclidean plane. We present a polynomial-time approximation scheme for the maximum weight independent set problem i...
Tim Nieberg, Johann Hurink, Walter Kern
TSMC
2010
13 years 5 months ago
Credal Semantics of Bayesian Transformations in Terms of Probability Intervals
In this paper we propose a credal representation of the interval probability associated with a belief function (b.f.), and show how it relates to several classical Bayesian transfo...
Fabio Cuzzolin
GD
2009
Springer
14 years 1 months ago
Complexity of Some Geometric and Topological Problems
We show that recognizing intersection graphs of convex sets has the same complexity as deciding truth in the existential theory of the reals. Comparing this to similar results on t...
Marcus Schaefer
CORR
2010
Springer
98views Education» more  CORR 2010»
13 years 10 months ago
Maximal Intersection Queries in Randomized Input Models
Consider a family of sets and a single set, called the query set. How can one quickly find a member of the family which has a maximal intersection with the query set? Time constra...
Benjamin Hoffmann, Mikhail Lifshits, Yury Lifshits...
COMGEO
2008
ACM
13 years 10 months ago
On the density of iterated line segment intersections
Given S1, a finite set of points in the plane, we define a sequence of point sets Si as follows: With Si already determined, let Li be the set of all the line segments connecting ...
Ansgar Grüne, Sanaz Kamali