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» Covering a Set of Points with a Minimum Number of Lines
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SODA
2004
ACM
115views Algorithms» more  SODA 2004»
13 years 7 months ago
Minimizing the stabbing number of matchings, trees, and triangulations
The (axis-parallel) stabbing number of a given set of line segments is the maximum number of segments that can be intersected by any one (axis-parallel) line. We investigate probl...
Sándor P. Fekete, Marco E. Lübbecke, H...
COMPGEOM
2004
ACM
13 years 11 months ago
Separating point sets in polygonal environments
We consider the separability of two point sets inside a polygon by means of chords or geodesic lines. Specifically, given a set of red points and a set of blue points in the inte...
Erik D. Demaine, Jeff Erickson, Ferran Hurtado, Jo...
COCOA
2009
Springer
13 years 11 months ago
Variable-Size Rectangle Covering
Abstract. In wireless communication networks, optimal use of the directional antenna is very important. The directional antenna coverage (DAC) problem is to cover all clients with ...
Francis Y. L. Chin, Hing-Fung Ting, Yong Zhang
CCCG
2008
13 years 7 months ago
Minimum blocking sets of circles for a set of lines in the plane
A circle C is occluded by a set of circles C1, . . . , Cn if every line that intersects C also intersects at least one of the Ci, i = 1, . . . , n. In this paper, we focus on dete...
Natasa Jovanovic, Jan H. M. Korst, Augustus J. E. ...
DAM
2010
111views more  DAM 2010»
13 years 6 months ago
Covering line graphs with equivalence relations
An equivalence graph is a disjoint union of cliques, and the equivalence number eq(G) of a graph G is the minimum number of equivalence subgraphs needed to cover the edges of G. W...
Louis Esperet, John Gimbel, Andrew King