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» The Uniformity Conjecture
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ICALP
2010
Springer
14 years 1 months ago
On the Inapproximability of Vertex Cover on k-Partite k-Uniform Hypergraphs
Computing a minimum vertex cover in graphs and hypergraphs is a well-studied optimizaton problem. While intractable in general, it is well known that on bipartite graphs, vertex c...
Venkatesan Guruswami, Rishi Saket
DCG
2000
79views more  DCG 2000»
13 years 8 months ago
Mutation Polynomials and Oriented Matroids
Several polynomials are of use in various enumeration problems concerning objects in oriented matroids. Chief among these is the Radon catalog. We continue to study these, as well ...
J. Lawrence
JUCS
2002
123views more  JUCS 2002»
13 years 8 months ago
Synchronization and Stability of Finite Automata
: Let G = (V, E) be a strongly connected and aperiodic directed graph of uniform out-degree k. A deterministic finite automaton is obtained if the edges are colored with k colors i...
Jarkko Kari
STOC
2003
ACM
109views Algorithms» more  STOC 2003»
14 years 8 months ago
Generating random regular graphs
Random regular graphs play a central role in combinatorics and theoretical computer science. In this paper, we analyze a simple algorithm introduced by Steger and Wormald [10] and...
Jeong Han Kim, Van H. Vu
COCO
2009
Springer
96views Algorithms» more  COCO 2009»
14 years 3 months ago
Poly-logarithmic Independence Fools AC0 Circuits
We prove that poly-sized AC0 circuits cannot distinguish a poly-logarithmically independent distribution from the uniform one. This settles the 1990 conjecture by Linial and Nisan...
Mark Braverman