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COMPGEOM
2003
ACM
15 years 9 months ago
Incremental constructions con BRIO
Randomized incremental constructions are widely used in computational geometry, but they perform very badly on large data because of their inherently random memory access patterns...
Nina Amenta, Sunghee Choi, Günter Rote
GD
2009
Springer
15 years 7 months ago
Complexity of Some Geometric and Topological Problems
We show that recognizing intersection graphs of convex sets has the same complexity as deciding truth in the existential theory of the reals. Comparing this to similar results on t...
Marcus Schaefer
EJC
2010
15 years 4 months ago
Connectivity of chamber graphs of buildings and related complexes
Let be a finite building (or, more generally, a thick spherical and locally finite building). The chamber graph G(), whose edges are the pairs of adjacent chambers in , is known t...
Anders Björner, Kathrin Vorwerk
165
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COMPGEOM
2008
ACM
15 years 5 months ago
Circular partitions with applications to visualization and embeddings
We introduce a hierarchical partitioning scheme of the Euclidean plane, called circular partitions. Such a partition consists of a hierarchy of convex polygons, each having small ...
Krzysztof Onak, Anastasios Sidiropoulos
COCOON
2003
Springer
15 years 9 months ago
The Complexity of Boolean Matrix Root Computation
Abstract. We show that finding roots of Boolean matrices is an NPhard problem. This answers a twenty year old question from semigroup theory. Interpreting Boolean matrices as dire...
Martin Kutz