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- W2625319930 abstract "Distributed property testing in networks has been introduced by Brakerski and Patt-Shamir (2011), with the objective of detecting the presence of large dense sub-networks in a distributed manner. Recently, Censor-Hillel et al. (2016) have shown how to detect 3-cycles in a constant number of rounds by a distributed algorithm. In a follow up work, Fraigniaud et al. (2016) have shown how to detect 4-cycles in a constant number of rounds as well. However, the techniques in these latter works were shown not to generalize to larger cycles Ck with k ≥ 5. In this paper, we completely settle the problem of cycle detection, by establishing the following result. For every k ≥ 3, there exists a distributed property testing algorithm for Ck-freeness, performing in a constant number of rounds. All these results hold in the classical congest/ model for distributed network computing. Our algorithm is 1-sided error. Its round-complexity is O(1/e) where e ∈(0,1) is the property testing parameter measuring the gap between legal and illegal instances." @default.
- W2625319930 created "2017-06-23" @default.
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- W2625319930 date "2017-07-24" @default.
- W2625319930 modified "2023-09-30" @default.
- W2625319930 title "Distributed Detection of Cycles" @default.
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- W2625319930 doi "https://doi.org/10.1145/3087556.3087571" @default.
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