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» Visibility Graphs of Point Sets in the Plane
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DAM
2006
124views more  DAM 2006»
14 years 9 months ago
Coloring copoints of a planar point set
To a set of n points in the plane, one can associate a graph that has less than n2 vertices and has the property that k-cliques in the graph correspond vertex sets of convex k-gon...
Walter Morris
IWOCA
2009
Springer
104views Algorithms» more  IWOCA 2009»
15 years 4 months ago
An O(n)-Time Algorithm for the Paired-Domination Problem on Permutation Graphs
A vertex subset D of a graph G is a dominating set if every vertex of G is either in D or is adjacent to a vertex in D. The paired-domination problem on G asks for a minimum-cardi...
Evaggelos Lappas, Stavros D. Nikolopoulos, Leonida...
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
JGAA
2007
104views more  JGAA 2007»
14 years 9 months ago
Bar k-Visibility Graphs
Let S be a set of horizontal line segments, or bars, in the plane. We say that G is a bar visibility graph, and S its bar visibility representation, if there exists a one-to-one c...
Alice M. Dean, William Evans, Ellen Gethner, Joshu...
CORR
2010
Springer
159views Education» more  CORR 2010»
14 years 7 months ago
Counting Plane Graphs: Flippability and its Applications
We generalize the notions of flippable and simultaneously-flippable edges in a triangulation of a set S of points in the plane, into so called pseudo simultaneously-flippable edge...
Michael Hoffmann, Micha Sharir, Adam Sheffer, Csab...