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APPROX
2007
Springer
115views Algorithms» more  APPROX 2007»
14 years 2 months ago
Improved Approximation Algorithms for the Spanning Star Forest Problem
A star graph is a tree of diameter at most two. A star forest is a graph that consists of node-disjoint star graphs. In the spanning star forest problem, given an unweighted graph ...
Ning Chen, Roee Engelberg, C. Thach Nguyen, Prasad...
APPROX
2007
Springer
92views Algorithms» more  APPROX 2007»
14 years 2 months ago
Sublinear Algorithms for Approximating String Compressibility
We raise the question of approximating the compressibility of a string with respect to a fixed compression scheme, in sublinear time. We study this question in detail for two popu...
Sofya Raskhodnikova, Dana Ron, Ronitt Rubinfeld, A...
APPROX
2007
Springer
99views Algorithms» more  APPROX 2007»
14 years 2 months ago
Eigenvectors of Random Graphs: Nodal Domains
We initiate a systematic study of eigenvectors of random graphs. Whereas much is known about eigenvalues of graphs and how they reflect properties of the underlying graph, relati...
Yael Dekel, James R. Lee, Nathan Linial
APPROX
2007
Springer
104views Algorithms» more  APPROX 2007»
14 years 2 months ago
Worst-Case to Average-Case Reductions Revisited
Abstract. A fundamental goal of computational complexity (and foundations of cryptography) is to find a polynomial-time samplable distribution (e.g., the uniform distribution) and...
Dan Gutfreund, Amnon Ta-Shma
APPROX
2007
Springer
100views Algorithms» more  APPROX 2007»
14 years 2 months ago
Implementing Huge Sparse Random Graphs
Consider a scenario where one desires to simulate the execution of some graph algorithm on random input graphs of huge, perhaps even exponential size. Sampling and storing these h...
Moni Naor, Asaf Nussboim