In this paper we show a reduction from the Unique Games problem to the problem of approximating MAX-CUT to within a factor of GW + , for all > 0; here GW .878567 denotes the a...
Subhash Khot, Guy Kindler, Elchanan Mossel, Ryan O...
Let p > 1 be any fixed real. We show that assuming NP RP, there is no polynomial time algorithm that approximates the Shortest Vector Problem (SVP) in p norm within a constant ...
We present an efficient randomized algorithm to test if a given function f : Fn p Fp (where p is a prime) is a low-degree polynomial. This gives a local test for Generalized Reed...
Charanjit S. Jutla, Anindya C. Patthak, Atri Rudra...
Given an undirected multigraph G and a subset of vertices S V (G), the STEINER TREE PACKING problem is to find a largest collection of edge-disjoint trees that each connects S. T...
Questions about order versus disorder in systems and models have been fascinating scientists over the years. In Computer Science, order is intimately related to sorting, commonly ...
We prove the existence of tolls to induce multicommodity, heterogeneous network users that independently choose routes minimizing their own linear function of tolls versus latency...
We study a simple Markov chain, known as the Glauber dynamics, for generating a random k-coloring of a n-vertex graph with maximum degree . We prove that, for every > 0, the d...
Martin E. Dyer, Alan M. Frieze, Thomas P. Hayes, E...
We investigate the feasibility of a variety of cryptographic tasks with imperfect randomness. The kind of imperfect randomness we consider are entropy sources, such as those consi...
Yevgeniy Dodis, Shien Jin Ong, Manoj Prabhakaran, ...