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» Stabbers of line segments in the plane
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CCCG
2001
14 years 11 months ago
Segment endpoint visibility graphs are hamiltonian
We show that the segment endpoint visibility graph of any finite set of disjoint line segments in the plane admits a simple Hamiltonian polygon, if not all segments are collinear. ...
Michael Hoffmann, Csaba D. Tóth
CCCG
2007
14 years 11 months ago
Disjoint Segments Have Convex Partitions with 2-Edge Connected Dual Graphs
The empty space around n disjoint line segments in the plane can be partitioned into n + 1 convex faces by extending the segments in some order. The dual graph of such a partition...
Nadia Benbernou, Erik D. Demaine, Martin L. Demain...
GC
2006
Springer
14 years 9 months ago
Alternating Paths along Axis-Parallel Segments
It is shown that for a set S of n pairwise disjoint axis-parallel line segments in the plane there is a simple alternating path of length ( n). This bound is best possible in the...
Csaba D. Tóth
CCCG
2006
14 years 11 months ago
Spanning trees across axis-parallel segments
Abstract. Given a set P of points and a set S of pairwise disjoint axis-parallel line segments in the plane, we construct a straight line spanning tree T on P such that every segme...
Csaba D. Tóth, Michael Hoffmann
ESA
2008
Springer
159views Algorithms» more  ESA 2008»
14 years 11 months ago
Cache-Oblivious Red-Blue Line Segment Intersection
We present an optimal cache-oblivious algorithm for finding all intersections between a set of non-intersecting red segments and a set of non-intersecting blue segments in the plan...
Lars Arge, Thomas Mølhave, Norbert Zeh