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» The Number of Independent Sets in a Regular Graph
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RSA
2006
66views more  RSA 2006»
14 years 9 months ago
Regular graphs whose subgraphs tend to be acyclic
Motivated by a problem that arises in the study of mirrored storage systems, we describe, for any fixed , > 0 and any integer d 2, explicit or randomized constructions of d-r...
Noga Alon, Eitan Bachmat
WG
2005
Springer
15 years 3 months ago
Approximation Algorithms for the Weighted Independent Set Problem
In unweighted case, approximation ratio for the independent set problem has been analyzed in terms of the graph parameters, such as the number of vertices, maximum degree, and aver...
Akihisa Kako, Takao Ono, Tomio Hirata, Magnú...
GBRPR
2003
Springer
15 years 2 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
WICON
2008
14 years 11 months ago
On the practical complexity of solving the maximum weighted independent set problem for optimal scheduling in wireless networks
It is well known that the maximum weighted independent set (MWIS) problem is NP-complete. Moreover, optimal scheduling in wireless networks requires solving a MWIS problem. Conseq...
Peng Wang, Stephan Bohacek
91
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ALGORITHMICA
2011
14 years 4 months ago
On Dissemination Thresholds in Regular and Irregular Graph Classes
We investigate the natural situation of the dissemination of information on various graph classes starting with a random set of informed vertices called active. Initially active ve...
Ivan Rapaport, Karol Suchan, Ioan Todinca, Jacques...