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GD
2006
Springer
15 years 9 months ago
Schematisation of Tree Drawings
Given a tree T spanning a set of points S in the plane, we study the problem of drawing T using only line segments aligned with a fixed set of directions C. The vertices in the dra...
Joachim Gudmundsson, Marc J. van Kreveld, Damian M...
HYBRID
1995
Springer
15 years 9 months ago
Deciding Reachability for Planar Multi-polynomial Systems
Abstract. In this paper we investigate the decidability of the reachability problem for planar non-linear hybrid systems. A planar hybrid system has the property that its state spa...
Karlis Cerans, Juris Viksna
COCOON
2008
Springer
15 years 7 months ago
Optimal Insertion of a Segment Highway in a City Metric
Given two sets of points in the plane, we are interested in locating a highway h such that an objective function on the city distance between points of the two sets is minimized (w...
Matias Korman, Takeshi Tokuyama
CCCG
2010
15 years 7 months ago
Finding monochromatic l-shapes in bichromatic point sets
Given a set R of red points and a set B of blue points in the plane of total size n, we study the problem of determining all angles for which there exists an L-shape containing al...
Farnaz Sheikhi, Mark de Berg, Ali Mohades, Mansoor...
CCCG
2007
15 years 7 months ago
Optimal Point Set Partitioning using Rigid Motion Star Placement
We consider the problem of determining the placement of a star R on a set P of n points in the plane such that a given objective function is maximized. A star R is a set of m rays...
Prosenjit Bose, Jason Morrison