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COMGEO
2011
ACM
12 years 12 months ago
Stabbers of line segments in the plane
The problem of computing a representation of the stabbing lines of a set S of segments in the plane was solved by Edelsbrunner et al. We provide efficient algorithms for the follo...
Mercè Claverol, Delia Garijo, Clara I. Grim...
COMGEO
2011
ACM
12 years 12 months ago
A computational approach to Conway's thrackle conjecture
A drawing of a graph in the plane is called a thrackle if every pair of edges meets precisely once, either at a common vertex or at a proper crossing. Let t(n) denote the maximum ...
Radoslav Fulek, János Pach
COMGEO
2011
ACM
12 years 12 months ago
Covering points by disjoint boxes with outliers
For a set of n points in the plane, we consider the axis–aligned (p, k)-Box Covering problem: Find p axis-aligned, pairwise-disjoint boxes that together contain at least n − k...
Hee-Kap Ahn, Sang Won Bae, Erik D. Demaine, Martin...
COMGEO
2011
ACM
12 years 12 months ago
On crossing numbers of geometric proximity graphs
Let P be a set of n points in the plane. A geometric proximity graph on P is a graph where two points are connected by a straight-line segment if they satisfy some prescribed prox...
Bernardo M. Ábrego, Ruy Fabila Monroy, Silv...
COMGEO
2011
ACM
12 years 12 months ago
Characterizations of restricted pairs of planar graphs allowing simultaneous embedding with fixed edges
A set of planar graphs share a simultaneous embedding if they can be drawn on the same vertex set V in the Euclidean plane without crossings between edges of the same graph. Fixed ...
J. Joseph Fowler, Michael Jünger, Stephen G. ...