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APPROX
2006
Springer
130views Algorithms» more  APPROX 2006»
15 years 1 months ago
Robust Mixing
In this paper, we develop a new "robust mixing" framework for reasoning about adversarially modified Markov Chains (AMMC). Let P be the transition matrix of an irreducib...
Murali K. Ganapathy
APPROX
2006
Springer
120views Algorithms» more  APPROX 2006»
15 years 1 months ago
Approximating Average Parameters of Graphs
Inspired by Feige (36th STOC, 2004), we initiate a study of sublinear randomized algorithms for approximating average parameters of a graph. Specifically, we consider the average ...
Oded Goldreich, Dana Ron
APPROX
2008
Springer
89views Algorithms» more  APPROX 2008»
15 years 3 days ago
Quantum and Randomized Lower Bounds for Local Search on Vertex-Transitive Graphs
We study the problem of local search on a graph. Given a real-valued black-box function f on the graph's vertices, this is the problem of determining a local minimum of f--a v...
Hang Dinh, Alexander Russell
APPROX
2004
Springer
121views Algorithms» more  APPROX 2004»
15 years 3 months ago
Small Pseudo-random Families of Matrices: Derandomizing Approximate Quantum Encryption
A quantum encryption scheme (also called private quantum channel, or state randomization protocol) is a one-time pad for quantum messages. If two parties share a classical random s...
Andris Ambainis, Adam Smith
APPROX
2004
Springer
135views Algorithms» more  APPROX 2004»
15 years 3 months ago
The Diameter of Randomly Perturbed Digraphs and Some Applications.
The central observation of this paper is that if ǫn random arcs are added to any n-node strongly connected digraph with bounded degree then the resulting graph has diameter O(ln ...
Abraham Flaxman, Alan M. Frieze