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STOC
2007
ACM
179views Algorithms» more  STOC 2007»
14 years 11 months ago
Towards 3-query locally decodable codes of subexponential length
A q-query Locally Decodable Code (LDC) encodes an n-bit message x as an N-bit codeword C(x), such that one can probabilistically recover any bit xi of the message by querying only...
Sergey Yekhanin
STOC
2007
ACM
164views Algorithms» more  STOC 2007»
14 years 11 months ago
All-pairs bottleneck paths for general graphs in truly sub-cubic time
In the all-pairs bottleneck paths (APBP) problem (a.k.a. allpairs maximum capacity paths), one is given a directed graph with real non-negative capacities on its edges and is aske...
Virginia Vassilevska, Ryan Williams, Raphael Yuste...
STOC
2007
ACM
137views Algorithms» more  STOC 2007»
14 years 11 months ago
Testing k-wise and almost k-wise independence
In this work, we consider the problems of testing whether a distribution over {0, 1}n is k-wise (resp. ( , k)-wise) independent using samples drawn from that distribution. For the...
Noga Alon, Alexandr Andoni, Tali Kaufman, Kevin Ma...
STOC
2007
ACM
101views Algorithms» more  STOC 2007»
14 years 11 months ago
Inapproximability of the Tutte polynomial
Leslie Ann Goldberg, Mark Jerrum
STOC
2007
ACM
134views Algorithms» more  STOC 2007»
14 years 11 months ago
Hardness of routing with congestion in directed graphs
Given as input a directed graph on N vertices and a set of source-destination pairs, we study the problem of routing the maximum possible number of source-destination pairs on pat...
Julia Chuzhoy, Venkatesan Guruswami, Sanjeev Khann...
STOC
2007
ACM
92views Algorithms» more  STOC 2007»
14 years 11 months ago
Parallel repetition: simplifications and the no-signaling case
: Consider a game where a referee chooses (x,y) according to a publicly known distribution, sends x to Alice, and y to Bob. Without communicating with each other, Alice responds wi...
Thomas Holenstein
STOC
2007
ACM
239views Algorithms» more  STOC 2007»
14 years 11 months ago
Approximating minimum bounded degree spanning trees to within one of optimal
In the MINIMUM BOUNDED DEGREE SPANNING TREE problem, we are given an undirected graph with a degree upper bound Bv on each vertex v, and the task is to find a spanning tree of min...
Mohit Singh, Lap Chi Lau
STOC
2007
ACM
106views Algorithms» more  STOC 2007»
14 years 11 months ago
One sketch for all: fast algorithms for compressed sensing
Compressed Sensing is a new paradigm for acquiring the compressible signals that arise in many applications. These signals can be approximated using an amount of information much ...
Anna C. Gilbert, Martin J. Strauss, Joel A. Tropp,...
STOC
2007
ACM
92views Algorithms» more  STOC 2007»
14 years 11 months ago
Tight bounds for asynchronous randomized consensus
A distributed consensus algorithm allows n processes to reach a common decision value starting from individual inputs. Wait-free consensus, in which a process always terminates wi...
Hagit Attiya, Keren Censor