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COMBINATORICS
2006
131views more  COMBINATORICS 2006»
14 years 9 months ago
Encores on Cores
We give a new derivation of the threshold of appearance of the k-core of a random graph. Our method uses a hybrid model obtained from a simple model of random graphs based on rand...
Julie Cain, Nicholas C. Wormald
FOCS
2008
IEEE
15 years 4 months ago
Almost-Natural Proofs
Razborov and Rudich have shown that so-called natural proofs are not useful for separating P from NP unless hard pseudorandom number generators do not exist. This famous result is...
Timothy Y. Chow
WEA
2007
Springer
111views Algorithms» more  WEA 2007»
15 years 3 months ago
Vertex Cover Approximations on Random Graphs
Abstract. The vertex cover problem is a classical NP-complete problem for which the best worst-case approximation ratio is 2− o(1). In this paper, we use a collection of simple g...
Eyjolfur Asgeirsson, Clifford Stein
CORR
2010
Springer
134views Education» more  CORR 2010»
14 years 9 months ago
Incremental Sampling-based Algorithms for Optimal Motion Planning
During the last decade, incremental sampling-based motion planning algorithms, such as the Rapidly-exploring Random Trees (RRTs), have been shown to work well in practice and to po...
Sertac Karaman, Emilio Frazzoli
CRYPTO
2007
Springer
134views Cryptology» more  CRYPTO 2007»
15 years 3 months ago
Domain Extension of Public Random Functions: Beyond the Birthday Barrier
A public random function is a random function that is accessible by all parties, including the adversary. For example, a (public) random oracle is a public random function {0, 1}â...
Ueli M. Maurer, Stefano Tessaro