List of accepted papers for RANDOM 2006: Oded Lachish, Ilan Newman and Asaf Shapira. Space Complexity vs. Query Complexity Sharon Marko and Dana Ron. Distance Approximation in Bounded-Degree and General Sparse Graphs Dana Ron and Oded Goldreich. Approximating Average Parameters of Graphs Martin Dyer, Leslie Goldberg and Mark Jerrum. Dobrushin conditions and Systematic Scan Avner magen, Shlomo hoory and Toniann Pitassi. Monotone circuits for the majority function Irit Dinur, Madhu Sudan and Avi Wigderson. Robust local testability of tensor products of LDPC Rajeev Motwani, Rina Panigrahy and Ying Xu. Fractional Matching via Balls-and-Bins Uriel Feige, Elchanan Mossel and Dan Vilenchik. Complete convergence of message passing algorithms for some satisfiability problems Amit Deshpande and Santosh Vempala. Adaptive Sampling and Fast Low-Rank Matrix Approximation Petros Drineas, Michael Mahoney and S. (Muthu) Muthukrishnan. Subspace Sampling and Relative-Error Matrix Approximation: Column-Based Methods Sanjeev Arora, Elad Hazan and Satyen Kale. A Fast Random Sampling Algorithm for Sparsifying Matrices Murali Ganapathy. Robust Mixing Time Alexander Healy. Randomness-Efficient Sampling within NC1 Thomas Strohmer and Roman Vershynin. A randomized solver for linear systems with exponential convergence Nayantara Bhatnagar, Sam Greenberg and Dana Randall. The Effect of Boundary Conditions on Mixing Rates of Markov Chains Dan Gutfreund. Optimal worst-case to average-case reductions within the polynomial-time hierarchy Martin Marciniszyn, Jozef Skokan, Reto Spöhel and Angelika Steger Threshold Functions for Asymmetric Ramsey Properties Involving Cliques Elena Grigorescu, Swastik Kopparty and Madhu Sudan. Local Decoding and Testing for Homomorphisms Philipp Woelfel. Maintaining External Memory Efficient Hash Tables Yi-Kai Liu, Vadim Lyubashevsky and Daniele Micciancio. On Bounded Distance Decoding for General Lattices Benny Applebaum, Yuval Ishai and Eyal Kushilevitz. On Pseudorandom Generators with Linear Stretch in NC0 Yi-Kai Liu. Consistency of Local Density Matrices is QMA-complete