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» SNPs Problems, Complexity, and Algorithms
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COMPGEOM
2004
ACM
16 years 8 days ago
The number of lines tangent to arbitrary convex polyhedra in 3D
We prove that the lines tangent to four possibly intersecting convex polyhedra in   3 with n edges in total form Θ(n2 ) connected components in the worst case. In the generic ca...
Hervé Brönnimann, Olivier Devillers, V...
WG
2004
Springer
16 years 5 days ago
Computing Bounded-Degree Phylogenetic Roots of Disconnected Graphs
The Phylogenetic kth Root Problem (PRk) is the problem of finding a (phylogenetic) tree T from a given graph G = (V, E) such that (1) T has no degree-2 internal nodes, (2) the ex...
Zhi-Zhong Chen, Tatsuie Tsukiji
FOCS
2003
IEEE
16 years 4 days ago
Quantum Search of Spatial Regions
: Can Grover’s algorithm speed up search of a physical region—for example a 2-D grid of size √ n × √ n? The problem is that √ n time seems to be needed for each query, j...
Scott Aaronson, Andris Ambainis
PODS
2000
ACM
112views Database» more  PODS 2000»
15 years 11 months ago
Auditing Boolean Attributes
We study the problem of auditing databases which support statistical sum queries to protect the security of sensitive information; we focus on the special case in which the sensit...
Jon M. Kleinberg, Christos H. Papadimitriou, Prabh...
GRAPHICSINTERFACE
2007
15 years 8 months ago
Constrained planar remeshing for architecture
Material limitations and fabrication costs generally run at odds with the creativity of architectural design, producing a wealth of challenging computational geometry problems. We...
Barbara Cutler, Emily Whiting