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Brief announcement: Super-fast t-ruling sets
Conference proceeding

Brief announcement: Super-fast t-ruling sets

Tushar Bisht, Kishore Kothapalli and Sriram Pemmaraju
Proceedings of the 2014 ACM symposium on principles of distributed computing, pp.379-381
PODC '14
07/15/2014
DOI: 10.1145/2611462.2611512

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Abstract

A t-ruling set of a graph G = (V, E) is a vertex-subset S ⊆ V that is independent and satisfies the property that every vertex v ∈ V is at a distance of at most t hops from some vertex in S. A maximal independent set (MIS) is a 1-ruling set. Extending results from Kothapalli et al. (FSTTCS 2012) this note presents a randomized algorithm for computing, with high probability, a t-ruling set in O(t ⋅ log 1/(t-1) n) rounds for 2 < t ≤ √(log log n) and in (O(√(log log n))) rounds for t > √(log log n).
distributed algorithms local algorithms maximal independent sets ruling sets symmetry breaking

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