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arXiv · 1602.03718

Fast Distributed Algorithms for Testing Graph Properties

Keren Censor-Hillel·Eldar Fischer·Gregory Schwartzman·Yadu Vasudev
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Abstract

We initiate a thorough study of \emph{distributed property testing} -- producing algorithms for the approximation problems of property testing in the CONGEST model. In particular, for the so-called \emph{dense} testing model we emulate sequential tests for nearly all graph properties having $1$-sided tests, while in the \emph{sparse} and \emph{general} models we obtain faster tests for triangle-freeness and bipartiteness respectively. In most cases, aided by parallelism, the distributed algorithms have a much shorter running time as compared to their counterparts from the sequential querying model of traditional property testing. The simplest property testing algorithms allow a relatively smooth transitioning to the distributed model. For the more complex tasks we develop new machinery that is of independent interest. This includes a method for distributed maintenance of multiple random walks.

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Keren Censor-Hillel, Eldar Fischer, Gregory Schwartzman, Yadu Vasudev. 2016-02-11. Fast Distributed Algorithms for Testing Graph Properties. https://arxiv.org/abs/1602.03718

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