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» On Convex Quadrangulations of Point Sets on the Plane
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CORR
2010
Springer
168views Education» more  CORR 2010»
14 years 7 months ago
Bounds on the maximum multiplicity of some common geometric graphs
We obtain new lower and upper bounds for the maximum multiplicity of some weighted and, respectively, non-weighted common geometric graphs drawn on n points in the plane in genera...
Adrian Dumitrescu, André Schulz, Adam Sheff...
ENDM
2008
142views more  ENDM 2008»
14 years 9 months ago
Augmenting the Connectivity of Planar and Geometric Graphs
In this paper we study some connectivity augmentation problems. Given a connected graph G with some desirable property, we want to make G 2-vertex connected (or 2-edge connected) ...
Ignaz Rutter, Alexander Wolff
62
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CCCG
2006
14 years 11 months ago
On Planar Path Transformation
A flip or edge-replacement is considered as a transformation by which one edge e of a geometric object is removed and an edge f (f = e) is inserted such that the resulting object ...
Kamrul Islam, Selim G. Akl, Henk Meijer
SODA
1992
ACM
140views Algorithms» more  SODA 1992»
14 years 10 months ago
Separation and Approximation of Polyhedral Objects
Given a family of disjoint polygons P1, P2, : : :, Pk in the plane, and an integer parameter m, it is NP-complete to decide if the Pi's can be pairwise separated by a polygon...
Joseph S. B. Mitchell, Subhash Suri
ISAAC
2004
Springer
79views Algorithms» more  ISAAC 2004»
15 years 3 months ago
Paired Pointset Traversal
In the Paired Pointset Traversal problem we ask whether, given two sets A = {a1, . . . , an} and B = {b1, . . . , bn} in the plane, there is an ordering π of the points such that ...
Peter Hui, Marcus Schaefer