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DGCI
2009
Springer
15 years 3 months ago
Optimal Partial Tiling of Manhattan Polyominoes
Finding an efficient optimal partial tiling algorithm is still an open problem. We have worked on a special case, the tiling of Manhattan polyominoes with dominoes, for which we gi...
Olivier Bodini, Jérémie Lumbroso
COMPGEOM
2005
ACM
15 years 1 months ago
Kinetic sorting and kinetic convex hulls
Let S be a set of n points moving on the real line. The kinetic sorting problem is to maintain a data structure on the set S that makes it possible to quickly generate a sorted li...
Mohammad Ali Abam, Mark de Berg
COMPGEOM
2005
ACM
15 years 1 months ago
Cache-oblivious r-trees
We develop a cache-oblivious data structure for storing a set S of N axis-aligned rectangles in the plane, such that all rectangles in S intersecting a query rectangle or point ca...
Lars Arge, Mark de Berg, Herman J. Haverkort
COMPGEOM
2005
ACM
15 years 1 months ago
The Visibility-Voronoi Complex and Its Applications
We introduce a new type of diagram called the VV(c)-diagram (the visibility–Voronoi diagram for clearance c), which is a hybrid between the visibility graph and the Voronoi diag...
Ron Wein, Jur P. van den Berg, Dan Halperin
COCOA
2008
Springer
15 years 1 months ago
Simplicial Powers of Graphs
In a finite simple undirected graph, a vertex is simplicial if its neighborhood is a clique. We say that, for k 2, a graph G = (VG, EG) is the k-simplicial power of a graph H = (V...
Andreas Brandstädt, Van Bang Le