Space-Efficient Local Computation Algorithms
Author(s)Alon, Noga; Rubinfeld, Ronitt; Vardi, Shai; Xie, Ning
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Recently Rubinfeld et al. (ICS 2011, pp. 223--238) proposed a new model of sublinear algorithms called local computation algorithms. In this model, a computation problem F may have more than one legal solution and each of them consists of many bits. The local computation algorithm for F should answer in an online fashion, for any index i, the i[superscript th] bit of some legal solution of F. Further, all the answers given by the algorithm should be consistent with at least one solution of F. In this work, we continue the study of local computation algorithms. In particular, we develop a technique which under certain conditions can be applied to construct local computation algorithms that run not only in polylogarithmic time but also in polylogarithmic space. Moreover, these local computation algorithms are easily parallelizable and can answer all parallel queries consistently. Our main technical tools are pseudorandom numbers with bounded independence and the theory of branching processes.
DepartmentMassachusetts Institute of Technology. Computer Science and Artificial Intelligence Laboratory; Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Proceedings of the Twenty-Third Annual ACM-SIAM Symposium on Discrete Algorithms (SODA '12)
Association for Computing Machinery (ACM)
Noga Alon, Ronitt Rubinfeld, Shai Vardi, and Ning Xie. 2012. Space-efficient local computation algorithms. In Proceedings of the Twenty-Third Annual ACM-SIAM Symposium on Discrete Algorithms (SODA '12). SIAM 1132-1139.
Author's final manuscript