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» On the number of maximal independent sets in a graph
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JGT
2006
95views more  JGT 2006»
13 years 11 months ago
Maximal independent sets in graphs with at most r cycles
We find the maximum number of maximal independent sets in two families of graphs. The first family consists of all graphs with n vertices and at most r cycles. The second family i...
Goh Chee Ying, Koh Khee Meng, Bruce E. Sagan, Vinc...
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...
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
GBRPR
2003
Springer
14 years 4 months ago
Constructing Stochastic Pyramids by MIDES - Maximal Independent Directed Edge Set
Abstract. We present a new method (MIDES) to determine contraction kernels for the construction of graph pyramids. Experimentally the new method has a reduction factor higher than ...
Yll Haxhimusa, Roland Glantz, Walter G. Kropatsch