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» Combinatorial dichotomies in set theory
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GBRPR
2005
Springer
15 years 3 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
15 years 4 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
15 years 3 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
15 years 11 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»
14 years 10 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