Achieving Sublinear Complexity under Constant 𝑇 in 𝑇 -interval Dynamic Networks

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2022-05-26
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This paper considers standard {\em $T$-interval dynamic networks}, where the $N$ nodes in the network proceed in lock-step {\em rounds}, and where the topology of the network can change arbitrarily from round to round, as determined by an {\em adversary}. The adversary promises that in every $T$ consecutive rounds, the $T$ (potentially different) topologies in those $T$ rounds contain a common connected subgraph that spans all nodes. Within such a context, we propose novel algorithms for solving some fundamental distributed computing problems such as Count/Consensus/Max. Our algorithms are the first algorithms whose complexities do not contain an $\Omega(N)$ term, under constant $T$ values. Previous sublinear algorithms require significantly larger $T$ values.
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