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» Combinatorial dichotomies in set theory
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GBRPR
2005
Springer
14 years 2 months ago
Hypergraph-Based Image Representation
Abstract. An appropriate image representation induces some good image treatment algorithms. Hypergraph theory is a theory of finite combinatorial sets, modeling a lot of problems ...
Alain Bretto, Luc Gillibert
ISVD
2007
IEEE
14 years 2 months ago
Voronoi Diagrams for Oriented Spheres
We consider finite sets of oriented spheres in Rk−1 and, by interpreting such spheres as points in Rk , study the Voronoi diagrams they induce for several variants of distance ...
Franz Aurenhammer, Johannes Wallner, Martin Petern...
COMPGEOM
2010
ACM
14 years 1 months ago
Better bounds on the union complexity of locally fat objects
We prove that the union complexity of a set of n constantcomplexity locally fat objects (which can be curved and/or non-convex) in the plane is O(λt+2(n) log n), where t is the m...
Mark de Berg
DAC
2002
ACM
14 years 9 months ago
Transformation rules for designing CNOT-based quantum circuits
This paper gives a simple but nontrivial set of local transformation rules for Control-NOT(CNOT)-based combinatorial circuits. It is shown that this rule set is complete, namely, ...
Kazuo Iwama, Yahiko Kambayashi, Shigeru Yamashita
ECCC
2008
168views more  ECCC 2008»
13 years 8 months ago
Algebrization: A New Barrier in Complexity Theory
Any proof of P = NP will have to overcome two barriers: relativization and natural proofs. Yet over the last decade, we have seen circuit lower bounds (for example, that PP does n...
Scott Aaronson, Avi Wigderson