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DC
2010
13 years 11 months ago
An optimal maximal independent set algorithm for bounded-independence graphs
We present a novel distributed algorithm for the maximal independent set (MIS) problem.1 On bounded-independence graphs (BIG) our deterministic algorithm finishes in O(log n) time,...
Johannes Schneider, Roger Wattenhofer
PODC
2005
ACM
14 years 4 months ago
Maximal independent sets in radio networks
We study the distributed complexity of computing a maximal independent set (MIS) in radio networks with completely unknown topology, asynchronous wake-up, and no collision detecti...
Thomas Moscibroda, Roger Wattenhofer
WDAG
2005
Springer
130views Algorithms» more  WDAG 2005»
14 years 4 months ago
Fast Deterministic Distributed Maximal Independent Set Computation on Growth-Bounded Graphs
Abstract. The distributed complexity of computing a maximal independent set in a graph is of both practical and theoretical importance. While there exists an elegant O(log n) time ...
Fabian Kuhn, Thomas Moscibroda, Tim Nieberg, Roger...
JCT
2007
117views more  JCT 2007»
13 years 10 months ago
Large independent sets in regular graphs of large girth
Let G be a d-regular graph with girth g, and let α be the independence number of G. We show that α(G) ≥ 1 2 1 − (d − 1)−2/(d−2) − (g) n where (g) → 0 as g → ∞,...
Joseph Lauer, Nicholas C. Wormald