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This paper presents a lower bound of ~ (D + p n) on the time required for the distributed construction of a minimum-weight spanning tree (MST) in weighted n-vertex networks of diameter D = (log n), in the bounded message model. This establishes the asymptotic near-optimality of existing time-eecient distributed algorithms for the problem, whose complexity… (More)

This paper presents a lower bound of Ω(D + √ n/ log n) on the time required for the distributed construction of a minimum-weight spanning tree (MST) in weighted n-vertex networks of diameter D = Ω(log n), in the bounded message model. This establishes the asymptotic near-optimality of existing time-efficient distributed algorithms for the problem, whose… (More)

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