TY - GEN

T1 - Space-efficient local computation algorithms

AU - Alon, Noga

AU - Rubinfeld, Ronitt

AU - Vardi, Shai

AU - Xie, Ning

PY - 2012

Y1 - 2012

N2 - 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 ith 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.

AB - 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 ith 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.

UR - http://www.scopus.com/inward/record.url?scp=84860194094&partnerID=8YFLogxK

U2 - 10.1137/1.9781611973099.89

DO - 10.1137/1.9781611973099.89

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AN - SCOPUS:84860194094

SN - 9781611972108

T3 - Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms

SP - 1132

EP - 1139

BT - Proceedings of the 23rd Annual ACM-SIAM Symposium on Discrete Algorithms, SODA 2012

PB - Association for Computing Machinery

T2 - 23rd Annual ACM-SIAM Symposium on Discrete Algorithms, SODA 2012

Y2 - 17 January 2012 through 19 January 2012

ER -