Faster gossiping on butterflies

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Abstract

Gossiping has been considered intensively for butterflies and regular butterflies (which have no wrap-around connections). In the telephone communication model, for a butterfly of order k, the best previous gossiping algorithms require 21/2 • k and 3 • k communication rounds, respectively. By new asymptotic methods we break through these bounds, proving new bounds of 21/4 • k + o(k) and 21/2 • k + o(k). © 2011 Springer-Verlag Berlin Heidelberg.

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Sibeyn, J. F. (2001). Faster gossiping on butterflies. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 2076 LNCS, pp. 785–796). Springer Verlag. https://doi.org/10.1007/3-540-48224-5_64

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