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Connected coloring completion for general graphs: algorithms and complexity
 IN: PROCEEDINGS COCOON 2007, LECTURE NOTES IN COMPUTER SCIENCE
, 2007
"... An rcomponent connected coloring of a graph is a coloring of the vertices so that each color class induces a subgraph having at most r connected components. The concept has been wellstudied for r = 1, in the case of trees, under the rubric of convex coloring, used in modeling perfect phylogenies. ..."
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Cited by 11 (7 self)
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. Several applications in bioinformatics of connected coloring problems on general graphs are discussed, including analysis of proteinprotein interaction networks and protein structure graphs, and of phylogenetic relationships modeled by splits trees. We investigate the rCOMPONENT CONNECTED COLORING
Loopy belief propagation for approximate inference: An empirical study. In:
 Proceedings of Uncertainty in AI,
, 1999
"... Abstract Recently, researchers have demonstrated that "loopy belief propagation" the use of Pearl's polytree algorithm in a Bayesian network with loops can perform well in the context of errorcorrecting codes. The most dramatic instance of this is the near Shannonlimit performanc ..."
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Cited by 676 (15 self)
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with loops (undirected cycles). The algorithm is an exact inference algorithm for singly connected networks the beliefs converge to the cor rect marginals in a number of iterations equal to the diameter of the graph.1 However, as Pearl noted, the same algorithm will not give the correct beliefs for mul
A general approximation technique for constrained forest problems
 SIAM J. COMPUT.
, 1995
"... We present a general approximation technique for a large class of graph problems. Our technique mostly applies to problems of covering, at minimum cost, the vertices of a graph with trees, cycles, or paths satisfying certain requirements. In particular, many basic combinatorial optimization proble ..."
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Cited by 414 (21 self)
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is obtained for the 2matching problem and its variants. We also derive the first approximation algorithms for many NPcomplete problems, including the nonfixed pointtopoint connection problem, the exact path partitioning problem, and complex locationdesign problems. Moreover, for the prize
Complexity of finding embeddings in a ktree
 SIAM JOURNAL OF DISCRETE MATHEMATICS
, 1987
"... A ktree is a graph that can be reduced to the kcomplete graph by a sequence of removals of a degree k vertex with completely connected neighbors. We address the problem of determining whether a graph is a partial graph of a ktree. This problem is motivated by the existence of polynomial time al ..."
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Cited by 386 (1 self)
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A ktree is a graph that can be reduced to the kcomplete graph by a sequence of removals of a degree k vertex with completely connected neighbors. We address the problem of determining whether a graph is a partial graph of a ktree. This problem is motivated by the existence of polynomial time
PerformanceEffective and LowComplexity Task Scheduling for Heterogeneous Computing
 IEEE TRANSACTIONS ON PARALLEL AND DISTRIBUTED SYSTEMS
, 2002
"... Efficient application scheduling is critical for achieving high performance in heterogeneous computing environments. The application scheduling problem has been shown to be NPcomplete in general cases as well as in several restricted cases. Because of its key importance, this problem has been exte ..."
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Cited by 255 (0 self)
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Efficient application scheduling is critical for achieving high performance in heterogeneous computing environments. The application scheduling problem has been shown to be NPcomplete in general cases as well as in several restricted cases. Because of its key importance, this problem has been
Which Problems Have Strongly Exponential Complexity?
 Journal of Computer and System Sciences
, 1998
"... For several NPcomplete problems, there have been a progression of better but still exponential algorithms. In this paper, we address the relative likelihood of subexponential algorithms for these problems. We introduce a generalized reduction which we call SubExponential Reduction Family (SERF) t ..."
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Cited by 242 (11 self)
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For several NPcomplete problems, there have been a progression of better but still exponential algorithms. In this paper, we address the relative likelihood of subexponential algorithms for these problems. We introduce a generalized reduction which we call SubExponential Reduction Family (SERF
Undirected STConnectivity in LogSpace
, 2004
"... We present a deterministic, logspace algorithm that solves stconnectivity in undirected graphs. The previous bound on the space complexity of undirected stconnectivity was log 4/3 (·) obtained by Armoni, TaShma, Wigderson and Zhou [ATSWZ00]. As undirected stconnectivity is complete for the clas ..."
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Cited by 162 (3 self)
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We present a deterministic, logspace algorithm that solves stconnectivity in undirected graphs. The previous bound on the space complexity of undirected stconnectivity was log 4/3 (·) obtained by Armoni, TaShma, Wigderson and Zhou [ATSWZ00]. As undirected stconnectivity is complete
Generalized coloring for treelike graphs
, 1997
"... We discuss the PRECOLORING EXTENSION(PREXT) and the LIST COLORING(LICOL) problems for trees, partial ktrees and cographs in the decision and the construction versions. Both problems for partial ktrees are solved in linear time when the number of colors is bounded by a constant and in polynomial ti ..."
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Cited by 31 (2 self)
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time for an unbounded number of colors. For trees, we improve this to linear time. In contrast to that, the two problems differ in complexity for cographs. While PREXT has a lineartime decision algorithm, LICOL is shown to be NPcomplete. We give polynomialtime algorithms for the corresponding
GRAPH SUBCOLORINGS: COMPLEXITY AND ALGORITHMS
 VOL. 16, NO. 4, PP. 635–650 C ○ 2003 SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS
, 2003
"... In a graph coloring, each color class induces a disjoint union of isolated vertices. A graph subcoloring generalizes this concept, since here each color class induces a disjoint union of complete graphs. Erdős and, independently, Albertson et al., proved that every graph of maximum degree at most 3 ..."
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Cited by 17 (3 self)
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In a graph coloring, each color class induces a disjoint union of isolated vertices. A graph subcoloring generalizes this concept, since here each color class induces a disjoint union of complete graphs. Erdős and, independently, Albertson et al., proved that every graph of maximum degree at most
DSC: Scheduling Parallel Tasks on an Unbounded Number of Processors
 IEEE Transactions on Parallel and Distributed Systems
"... We present a low complexity heuristic named the Dominant Sequence Clustering algorithm (DSC) for scheduling parallel tasks on an unbounded number of completely connected processors. The performance of DSC is comparable or even better on average than many other higher complexity algorithms. We assume ..."
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Cited by 209 (11 self)
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We present a low complexity heuristic named the Dominant Sequence Clustering algorithm (DSC) for scheduling parallel tasks on an unbounded number of completely connected processors. The performance of DSC is comparable or even better on average than many other higher complexity algorithms. We
Results 1  10
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926