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EUROCRYPT
2010
Springer
13 years 10 months ago
Stam's Collision Resistance Conjecture
At CRYPTO 2008 Stam [7] made the following conjecture: if an m + s-bit to s-bit compression function F makes r calls to a primitive f of n-bit input, then a collision for F can be ...
John P. Steinberger
JCT
2010
113views more  JCT 2010»
13 years 5 months ago
Equations resolving a conjecture of Rado on partition regularity
A linear equation L is called k-regular if every k-coloring of the positive integers contains a monochromatic solution to L. Richard Rado conjectured that for every positive intege...
Boris Alexeev, Jacob Tsimerman
RSA
2011
106views more  RSA 2011»
12 years 10 months ago
Distances between pairs of vertices and vertical profile in conditioned Galton-Watson trees
We consider a conditioned Galton–Watson tree and prove an estimate of the number of pairs of vertices with a given distance, or, equivalently, the number of paths of a given leng...
Luc Devroye, Svante Janson
MOC
1998
106views more  MOC 1998»
13 years 7 months ago
Bounds for eigenvalues and condition numbers in the p-version of the finite element method
In this paper, we present a theory for bounding the minimum eigenvalues, maximum eigenvalues, and condition numbers of stiffness matrices arising from the p-version of finite ele...
Ning Hu, Xian-Zhong Guo, I. Norman Katz
CORR
2010
Springer
117views Education» more  CORR 2010»
13 years 7 months ago
Reductions Between Expansion Problems
The Small-Set Expansion Hypothesis (Raghavendra, Steurer, STOC 2010) is a natural hardness assumption concerning the problem of approximating the edge expansion of small sets in g...
Prasad Raghavendra, David Steurer, Madhur Tulsiani