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» Kernelization Algorithms for the Vertex Cover Problem: Theor...
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STOC
2010
ACM
224views Algorithms» more  STOC 2010»
13 years 11 months ago
Satisfiability Allows No Nontrivial Sparsification Unless The Polynomial-Time Hierarchy Collapses
Consider the following two-player communication process to decide a language L: The first player holds the entire input x but is polynomially bounded; the second player is computa...
Holger Dell and Dieter van Melkebeek
COCOON
2005
Springer
14 years 28 days ago
Power Domination Problem in Graphs
To monitor an electric power system by placing as few phase measurement units (PMUs) as possible is closely related to the famous vertex cover problem and domination problem in gr...
Chung-Shou Liao, Der-Tsai Lee
SODA
2012
ACM
253views Algorithms» more  SODA 2012»
11 years 9 months ago
Kernelization of packing problems
Kernelization algorithms are polynomial-time reductions from a problem to itself that guarantee their output to have a size not exceeding some bound. For example, d-Set Matching f...
Holger Dell, Dániel Marx
TAMC
2007
Springer
14 years 1 months ago
Kernelizations for Parameterized Counting Problems
Abstract. Kernelizations are an important tool in designing fixed parameter algorithms for parameterized decision problems. We introduce an analogous notion for counting problems,...
Marc Thurley
PDCN
2004
13 years 8 months ago
Scalable parallel algorithms for difficult combinatorial problems: A case study in optimization
A novel combination of emergent algorithmic methods, powerful computational platforms and supporting infrastructure is described. These complementary tools and technologies are us...
Faisal N. Abu-Khzam, Michael A. Langston, Pushkar ...