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» Triangulations of Line Segment Sets in the Plane
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DCG
2008
82views more  DCG 2008»
13 years 7 months ago
Visibility Graphs of Point Sets in the Plane
The visibility graph V(X) of a discrete point set X R2 has vertex set X and an edge xy for every two points x, y X whenever there is no other point in X on the line segment betw...
Florian Pfender
CCCG
2001
13 years 8 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
GC
2006
Springer
13 years 7 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
2007
13 years 9 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...
COMGEO
2008
ACM
13 years 7 months ago
On the density of iterated line segment intersections
Given S1, a finite set of points in the plane, we define a sequence of point sets Si as follows: With Si already determined, let Li be the set of all the line segments connecting ...
Ansgar Grüne, Sanaz Kamali