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A Deterministic Algorithm for the MST Problem in Constant Rounds of Congested Clique
[article]

2020
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arXiv
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pre-print

In this paper, we show that the Minimum Spanning Tree problem can be solved deterministically, in O(1) rounds of the CongestedClique model. In the CongestedClique model, there are n players that perform computation in synchronous rounds. Each round consist of a phase of local computation and a phase of communication, in which each pair of players is allowed to exchange O(log n) bit messages. The studies of this model began with the MST problem: in the paper by Lotker et al.[SPAA'03, SICOMP'05]

arXiv:1912.04239v3
fatcat:5pzynwif5fadxpsjpj4gqwtdmq