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Chapter and Conference Paper
TPCx-AI: First Adopter’s Experience Report
This paper provides a report based on the first TPCx-AI benchmark publication.
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Article
On the Number of Edges of Fan-Crossing Free Graphs
A graph drawn in the plane with \(n\) n ...
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Chapter and Conference Paper
On the Number of Edges of Fan-Crossing Free Graphs
A graph drawn in the plane with n vertices is fan-crossing free if there is no triple of edges e,f and g, such that e and f have a common endpoint and g crosses both e and f. We prove a tight bound of 4n − 9 on t...
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Chapter and Conference Paper
Computing k-center over Streaming Data for Small k
The Euclidean k-center problem is to compute k congruent balls covering a given set of points in ℝ d such that the radius is minimized. We consider the k-center problem in ℝ ...
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Chapter and Conference Paper
The Cost of Bounded Curvature
We study the motion-planning problem for a car-like robot whose turning radius is bounded from below by one and which is allowed to move in the forward direction only (Dubins car). For two robot configurations σ,...
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Chapter and Conference Paper
Measuring the Similarity of Geometric Graphs
What does it mean for two geometric graphs to be similar? We propose a distance for geometric graphs that we show to be a metric, and that can be computed by solving an integer linear program. We also present ...
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Chapter and Conference Paper
Throwing Stones Inside Simple Polygons
Given two sets A and B of m non-intersecting line segments in the plane, we show how to compute in O(m logm) time a data structure that uses O(m) space and allows to answer the following query in O(logm) time: Gi...