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- W2022781277 abstract "Numerous sophisticated local algorithm were suggested in the literature for various fundamental problems. Notable examples are the MIS and (Δ+1)-coloring algorithms by Barenboim and Elkin [6], by Kuhn [22], and by Panconesi and Srinivasan [33], as well as the OΔ2-coloring algorithm by Linial [27]. Unfortunately, most known local algorithms (including, in particular, the aforementioned algorithms) are non-uniform, that is, they assume that all nodes know good estimations of one or more global parameters of the network, e.g., the maximum degree Δ or the number of nodes n.This paper provides a rather general method for transforming a non-uniform local algorithm into a uniform one. Furthermore, the resulting algorithm enjoys the same asymptotic running time as the original non-uniform algorithm. Our method applies to a wide family of both deterministic and randomized algorithms. Specifically, it applies to almost all of the state of the art non-uniform algorithms regarding MIS and Maximal Matching, as well as to many results concerning the coloring problem. (In particular, it applies to all aforementioned algorithms.)To obtain our transformations we introduce a new distributed tool called pruning algorithms, which we believe may be of independent interest." @default.
- W2022781277 created "2016-06-24" @default.
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- W2022781277 date "2011-06-06" @default.
- W2022781277 modified "2023-10-18" @default.
- W2022781277 title "Toward more localized local algorithms" @default.
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- W2022781277 doi "https://doi.org/10.1145/1993806.1993814" @default.
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