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EUROCRYPT
2010
Springer
13 years 9 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 4 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 8 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 5 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 5 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