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CALC
2001
Springer
171views Cryptology» more  CALC 2001»
15 years 5 months ago
Approximate Integer Common Divisors
We show that recent results of Coppersmith, Boneh, Durfee and Howgrave-Graham actually apply in the more general setting of (partially) approximate common divisors. This leads us t...
Nick Howgrave-Graham
IACR
2011
141views more  IACR 2011»
14 years 4 days ago
Approximate common divisors via lattices
We analyze the multivariate generalization of Howgrave-Graham’s algorithm for the approximate common divisor problem. In the m-variable case with modulus N and approximate common...
Henry Cohn, Nadia Heninger
87
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COCOON
2005
Springer
15 years 6 months ago
On the Approximation of Computing Evolutionary Trees
Given a set of leaf-labelled trees with identical leaf sets, the well-known MAST problem consists of finding a subtree homeomorphically included in all input trees and with the la...
Vincent Berry, Sylvain Guillemot, François ...
APPROX
2009
Springer
195views Algorithms» more  APPROX 2009»
15 years 7 months ago
Approximating Node-Connectivity Augmentation Problems
The (undirected) Node Connectivity Augmentation (NCA) problem is: given a graph J = (V, EJ ) and connectivity requirements {r(u, v) : u, v ∈ V }, find a minimum size set I of n...
Zeev Nutov
SIAMCOMP
2000
88views more  SIAMCOMP 2000»
15 years 8 days ago
Gadgets, Approximation, and Linear Programming
We present a linear programming-based method for nding \gadgets", i.e., combinatorial structures reducing constraints of one optimization problem to constraints of another. A...
Luca Trevisan, Gregory B. Sorkin, Madhu Sudan, Dav...