Publication | Closed Access
An Implicit Enumeration Scheme for Proper Cut Generation
34
Citations
6
References
1970
Year
Mathematical ProgrammingEngineeringImplicit EnumerationPlanar GraphComputational ComplexityGeometry GenerationComputer-aided DesignProper CutsStructural Graph TheoryImplicit Enumeration SchemeDiscrete MathematicsCombinatorial OptimizationComputational GeometryGeometric ModelingGeometric Graph TheoryAlgebraic Graph TheoryComputer ScienceNew AlgorithmGraph AlgorithmGeometric AlgorithmGraph TheoryNatural SciencesAlgorithmic Efficiency
The problem of enumerating all proper cuts of a linear graph arises in several reliability applications and is usually solved by algebraic algorithms. We present a new algorithm based upon implicit enumeration. In addition, we present comparative computational experience which shows that the new algorithm requires significantly less computer time than existing algorithms.
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