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COCOON
2005
Springer
15 years 5 months 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»
13 years 2 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
RSA
2008
123views more  RSA 2008»
14 years 11 months ago
Generating unlabeled connected cubic planar graphs uniformly at random
We present an expected polynomial time algorithm to generate an unlabeled connected cubic planar graph uniformly at random. We first consider rooted connected cubic planar graphs, ...
Manuel Bodirsky, Clemens Gröpl, Mihyun Kang
CORR
2007
Springer
116views Education» more  CORR 2007»
14 years 12 months ago
Complexity of some Path Problems in DAGs and Linear Orders
We investigate here the computational complexity of three natural problems in directed acyclic graphs. We prove their NP Completeness and consider their restrictions to linear orde...
Serge Burckel
IACR
2011
126views more  IACR 2011»
13 years 11 months ago
On Enumeration of Polynomial Equivalence Classes and Their Application to MPKC
The Isomorphism of Polynomials (IP) is one of the most fundamental problems in multivariate public key cryptography (MPKC). In this paper, we introduce a new framework to study th...
Dongdai Lin, Jean-Charles Faugère, Ludovic ...