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CCCG
2008
13 years 6 months ago
A Class of Convex Polyhedra with Few Edge Unfoldings
We construct a sequence of convex polyhedra on n vertices with the property that, as n, the fraction of its edge unfoldings that avoid overlap approaches 0, and so the frac
Alex Benton, Joseph O'Rourke
CCCG
2008
13 years 6 months ago
Empty Monochromatic Triangles
We consider a variation of a problem stated by Erd
Oswin Aichholzer, Ruy Fabila Monroy, David Flores-...
CCCG
2008
13 years 6 months ago
Searching for Frequent Colors in Rectangles
We study a new variant of colored orthogonal range searching problem: given a query rectangle Q all colors c, such that at least a fraction of all points in Q are of color c, mus...
Marek Karpinski, Yakov Nekrich
CCCG
2008
13 years 6 months ago
Polygons Folding to Plural Incongruent Orthogonal Boxes
We investigate the problem of finding orthogonal polygons that fold to plural incongruent orthogonal boxes. There are two known polygons that fold to produce two incongruent ortho...
Ryuhei Uehara
CCCG
2008
13 years 6 months ago
The Steiner Ratio for Obstacle-Avoiding Rectilinear Steiner Trees
We consider the problem of finding a shortest rectilinear Steiner tree for a given set of points in the plane in the presence of rectilinear obstacles that must be avoided. We ext...
Mina Razaghpour, Anna Lubiw