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- W3208299684 abstract "We observe message- and energy-efficient distributed algorithms for the SetCover Problem in the (KT_0) and Beeping model. Given a ground set U of n elements and m subsets of U, we aim to find the minimal number of these subsets that contain all elements. In the default distributed setup of this problem, each set has a bidirected communication link with each element it contains. Our first result is a (tilde{O}(log ^2(Delta )))-time and (tilde{O}(sqrt{Delta )}(n+m)))-message algorithm with expected approximation ratio of (O(log (Delta ))) in the (KT_0) model. The value (Delta ) denotes the maximum of each subset’s cardinality and the number of sets an element is contained in. Our algorithm is almost optimal concerning time and message complexity. Further, we present the first SetCover algorithm for general instances in the Beeping model. It computes an (tilde{O}(root k of {Delta }))-approximation in time (O(k^3)) for any parameter (k>3). Thus, it can trade runtime for approximation ratio similar to the celebrated algorithm by Kuhn and Wattenhofer [PODC’03]." @default.
- W3208299684 created "2021-11-08" @default.
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- W3208299684 date "2021-01-01" @default.
- W3208299684 modified "2023-10-18" @default.
- W3208299684 title "Beep-And-Sleep: Message and Energy Efficient Set Cover" @default.
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- W3208299684 doi "https://doi.org/10.1007/978-3-030-89240-1_7" @default.
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