Search results for "Feedback arc set"

showing 2 items of 2 documents

Bounds for minimum feedback vertex sets in distance graphs and circulant graphs

2008

Graphs and Algorithms

Discrete mathematicsGeneral Computer Science[INFO.INFO-DS]Computer Science [cs]/Data Structures and Algorithms [cs.DS]Neighbourhood (graph theory)[ INFO.INFO-DM ] Computer Science [cs]/Discrete Mathematics [cs.DM][INFO.INFO-DS] Computer Science [cs]/Data Structures and Algorithms [cs.DS][INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM]Feedback arc setTheoretical Computer ScienceCombinatorics[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]Circulant graphChordal graphIndependent setDiscrete Mathematics and CombinatoricsMaximal independent setFeedback vertex setRegular graph[ INFO.INFO-DS ] Computer Science [cs]/Data Structures and Algorithms [cs.DS]MathematicsMathematicsofComputing_DISCRETEMATHEMATICS
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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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