2016 · 20 citations · 9 references
ComputingComputer ScienceAlgorithmsPattern FormationRoboticsLeader ElectionRandomized ComputationImpossibility ResultsInitial ConfigurationLocal Coordinate SystemsProbabilistic Robotics
We show that the first phase of the Linial-Saks network decomposition algorithm gives a randomized distributed O(nε)-approximation algorithm for the maximum independent set problem that operates in O(1/ε) rounds, and we give a matching lower bound that holds even for bipartite graphs.
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Clique is hard to approximate within n1−ε
Johan Håstad · Acta Mathematica · 1999 · 1.4K citations · Full text
Alexander Lubotzky, Ralph S. Phillips, Peter Sarnak · COMBINATORICA · 1988 · 1K citations
Locality in Distributed Graph Algorithms
Nathan Linial · SIAM Journal on Computing · 1992 · 885 citations
Clique is hard to approximate within n/sup 1-ε/
Johan Håstad · 2002 · 452 citations
Network decomposition and locality in distributed computation
Baruch Awerbuch, Michael Luby, Andrew V. Goldberg et al. · 1989 · 302 citations