Search results for "Moral graph"

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Temporal aggregation in chain graph models

2005

The dependence structure of an observed process induced by temporal aggregation of a time evolving hidden spatial phenomenon is addressed. Data are described by means of chain graph models and an algorithm to compute the chain graph resulting from the temporal aggregation of a directed acyclic graph is provided. This chain graph is the best graph which covers the independencies of the resulting process within the chain graph class. A sufficient condition that produces a memory loss of the observed process with respect to its hidden origin is analyzed. Some examples are used for illustrating algorithms and results.

Statistics and ProbabilityApplied MathematicsVoltage graphDirected graphStrength of a graphTopologyGraph (abstract data type)Statistics Probability and UncertaintyNull graphGraph propertyAlgorithmComplement graphMathematicsofComputing_DISCRETEMATHEMATICSMoral graphMathematicsJournal of Statistical Planning and Inference
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A tabu thresholding algorithm for arc crossing minimization in bipartite graphs

1996

Acyclic directed graphs are commonly used to model complex systems. The most important criterion to obtain a readable map of an acyclic graph is that of minimizing the number of arc crossings. In this paper, we present a heuristic for solving the problem of minimizing the number of arc crossings in a bipartite graph. It consists of a novel and easier implementation of fundamental tabu search ideas without explicit use of memory structures (a tabu thresholding approach). Computational results are reported on a set of 250 randomly generated test problems. Our algorithm has been compared with the two best heuristics published in the literature and with the optimal solutions for the test proble…

Mathematical optimizationGeneral Decision SciencesComparability graphDirected graphManagement Science and Operations ResearchDirected acyclic graphFeedback arc setTabu searchlaw.inventionlawLine graphBipartite graphMathematicsofComputing_DISCRETEMATHEMATICSMoral graphMathematicsAnnals of Operations Research
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