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COMBINATORICS
2006
131views more  COMBINATORICS 2006»
14 years 11 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 6 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 5 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 11 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
108
Voted
CRYPTO
2007
Springer
134views Cryptology» more  CRYPTO 2007»
15 years 5 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