3 research outputs found
Sparsifying Congested Cliques and Core-Periphery Networks
International audienceThe \emph{core-periphery} network architecture proposed by Avin et al. [ICALP 2014] was shown to support fast computation for many distributed algorithms, while being much sparser than the \emph{congested clique}. For being efficient, the core-periphery architecture is however bounded to satisfy three axioms, among which is the capability of the core to emulate the clique, i.e., to implement the all-to-all communication pattern, in rounds in the \CONGEST\ model. In this paper, we show that implementing all-to-all communication in rounds can be done in -node networks with roughly edges, and this bound is tight. Hence, sparsifying the core beyond just saving a fraction of the edges requires to relax the constraint on the time to simulate the congested clique. We show that, for , a random graph in can, w.h.p., perform the all-to-all communication pattern in rounds. Finally, we show that if the core can emulate the congested clique in rounds, then there exists a distributed MST construction algorithm performing in rounds. Hence, for , our (deterministic) algorithm improves the best known (randomized) algorithm for constructing MST in core-periphery networks by a factor
Sparsifying Congested Cliques and Core-Periphery Networks
International audienceThe \emph{core-periphery} network architecture proposed by Avin et al. [ICALP 2014] was shown to support fast computation for many distributed algorithms, while being much sparser than the \emph{congested clique}. For being efficient, the core-periphery architecture is however bounded to satisfy three axioms, among which is the capability of the core to emulate the clique, i.e., to implement the all-to-all communication pattern, in rounds in the \CONGEST\ model. In this paper, we show that implementing all-to-all communication in rounds can be done in -node networks with roughly edges, and this bound is tight. Hence, sparsifying the core beyond just saving a fraction of the edges requires to relax the constraint on the time to simulate the congested clique. We show that, for , a random graph in can, w.h.p., perform the all-to-all communication pattern in rounds. Finally, we show that if the core can emulate the congested clique in rounds, then there exists a distributed MST construction algorithm performing in rounds. Hence, for , our (deterministic) algorithm improves the best known (randomized) algorithm for constructing MST in core-periphery networks by a factor
LIPIcs, Volume 248, ISAAC 2022, Complete Volume
LIPIcs, Volume 248, ISAAC 2022, Complete Volum