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STOC
2007
ACM
94views Algorithms» more  STOC 2007»
15 years 5 days ago
Constructing non-computable Julia sets
While most polynomial Julia sets are computable, it has been recently shown [12] that there exist non-computable Julia sets. The proof was non-constructive, and indeed there were ...
Mark Braverman, Michael Yampolsky
STOC
2007
ACM
142views Algorithms» more  STOC 2007»
15 years 5 days ago
Lower bounds for randomized read/write stream algorithms
Motivated by the capabilities of modern storage architectures, we consider the following generalization of the data stream model where the algorithm has sequential access to multi...
Paul Beame, T. S. Jayram, Atri Rudra
STOC
2007
ACM
119views Algorithms» more  STOC 2007»
15 years 5 days ago
Balanced max 2-sat might not be the hardest
We show that, assuming the Unique Games Conjecture, it is NPhard to approximate MAX 2-SAT within LLZ + , where 0.9401 < LLZ < 0.9402 is the believed approximation ratio of t...
Per Austrin
STOC
2007
ACM
117views Algorithms» more  STOC 2007»
15 years 5 days ago
A combinatorial, primal-dual approach to semidefinite programs
Semidefinite programs (SDP) have been used in many recent approximation algorithms. We develop a general primal-dual approach to solve SDPs using a generalization of the well-know...
Sanjeev Arora, Satyen Kale
STOC
2007
ACM
92views Algorithms» more  STOC 2007»
15 years 5 days ago
Terminal backup, 3D matching, and covering cubic graphs
Elliot Anshelevich, Adriana Karagiozova
STOC
2007
ACM
154views Algorithms» more  STOC 2007»
15 years 5 days ago
Improved approximation for directed cut problems
Amit Agarwal, Noga Alon, Moses Charikar
STOC
2007
ACM
94views Algorithms» more  STOC 2007»
15 years 5 days ago
Sampling-based dimension reduction for subspace approximation
We give a randomized bi-criteria algorithm for the problem of finding a k-dimensional subspace that minimizes the Lp-error for given points, i.e., p-th root of the sum of p-th
Amit Deshpande, Kasturi R. Varadarajan
STOC
2007
ACM
179views Algorithms» more  STOC 2007»
15 years 5 days 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»
15 years 5 days 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»
15 years 5 days 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...