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ℜ-Netzwerke und Matrixalgorithmen

ℜ-networks and matrix algorithms

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Zusammenfassung

Floyd entwickelte einen Matrixalgorithmus zur Bestimmung der Längen aller kürzesten Wege in einem Netzwerk. In der vorliegenden Arbeit wird gezeigt, daß, falls man den Begriff des Netzwerkes etwas verallgemeinert, sich mit Hilfe des gleichen Verfahrens eine Fülle von grundverschiedenen Problemen lösen läßt. Es wird eine entsprechende Theorie entwickelt und an Beispielen erläutert.

Abstract

Floyd developed a matrix algorithm to find all shortest paths in a network. If we modify the algebraic structure of the network the same algorithm can be applied to large number of other problems. A general theory for these algorithms is developed and applied to numerous problems.

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Literatur

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Authors and Affiliations

  1. Universität Regensburg, Postfach 397, D-8400, Regensburg, Bundesrepublik Deutschland

    P. Brucker

Authors
  1. P. Brucker
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Brucker, P. ℜ-Netzwerke und Matrixalgorithmen. Computing 10, 271–283 (1972). https://doi.org/10.1007/BF02316913

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  • DOI: https://doi.org/10.1007/BF02316913

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