Sciweavers

28 search results - page 3 / 6
» Binary plane partitions for disjoint line segments
Sort
View
CCCG
2001
15 years 1 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
ISVD
2007
IEEE
15 years 6 months ago
Voronoi Diagram with Respect to Criteria on Vision Information
Voronoi diagram for a set of geometric objects is a partition of the plane (or space in higher dimensions) into disjoint regions each dominated by some given object under a predet...
Tetsuo Asano, Naoki Katoh, Hisao Tamaki, Takeshi T...
COCOON
2009
Springer
15 years 6 months ago
Convex Partitions with 2-Edge Connected Dual Graphs
It is shown that for every finite set of disjoint convex polygonal obstacles in the plane, with a total of n vertices, the free space around the obstacles can be partitioned into ...
Marwan Al-Jubeh, Michael Hoffmann, Mashhood Ishaqu...
CCCG
2006
15 years 1 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
GC
2006
Springer
14 years 11 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