Randomized LOCAL algorithm computes 2-ruling sets in O(log log n) rounds w.h.p. on graphs with arboricity O(log log n), nearly matching lower bounds and exponentially improving prior combinations of results.
A Deterministic Distributed 2-Approximation for Weighted Vertex Cover in
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Introduces a distributed stochastic setting for graph optimization and supplies fast approximation algorithms for matching, vertex cover, and dominating set that surpass non-stochastic lower bounds.
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Near-Optimal Distributed 2-Ruling Sets on Graphs with Low Arboricity
Randomized LOCAL algorithm computes 2-ruling sets in O(log log n) rounds w.h.p. on graphs with arboricity O(log log n), nearly matching lower bounds and exponentially improving prior combinations of results.
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Distributed Stochastic Graph Algorithms
Introduces a distributed stochastic setting for graph optimization and supplies fast approximation algorithms for matching, vertex cover, and dominating set that surpass non-stochastic lower bounds.