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Abstract

Algorithms consisting of repetitive change to a given graph are described in a manner adapted to graph theoretic applications. Easily provable attributes are defined, a sufficient criterion for the finite Church-Rosser property is given, and it is shown how this property can be proved by using a simple set oriented Boolean matrix calculus. As an application a new and efficient algorithm for finding the interval graph of a flow graph is derived.

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Literatur

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© 1979 Springer Basel AG

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Ebert, J. (1979). Endliche Church-Rosser-Operatoren auf Graphen und ein Intervall-Algorithmus. In: Collatz, L., Meinardus, G., Wetterling, W. (eds) Numerische Methoden bei graphentheoretischen und kombinatorischen Problemen. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale D’Analyse Numérique, vol 46. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5997-4_4

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  • DOI: https://doi.org/10.1007/978-3-0348-5997-4_4

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-7643-1078-3

  • Online ISBN: 978-3-0348-5997-4

  • eBook Packages: Springer Book Archive

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