A Preflow Approach to Maximum Flows in Parametric Networks Applied to Assessing the Legal Information

Authors

  • Livia Sangeorzan Transilvania University of Brasov Faculty of Mathematics and Informatics B-dul Eroilor 29, 500036, Brasov, Romania
  • Mircea Parpalea National College Andrei Şaguna of Brasov 1, Şaguna, street, 590000, Brasov, Romania
  • Mihaela Marinela Parpalea Transilvania University of Brasov Faculty of Letters 25, Eroilor, Blvd, 500030, Brasov, Romania
  • Angela Repanovici Transilvania University of Brasov Faculty of Product Design and Environment 25, Eroilor, Blvd, 500030, Brasov, Romania
  • Roxana Matefi Transilvania University of Brasov Faculty of Law 25, Eroilor, Blvd, 500030, Brasov, Romania
  • Ioana Nicolae Transilvania University of Brasov Faculty of Law 25, Eroilor, Blvd, 500030, Brasov, Romania

Keywords:

Parametric preflow algorithm, partitioning technique, generative linguistics, legal information

Abstract

The present paper proposes a fractal-like approach to the parametric flow problem, derived from the rules and recursion of generative linguistics. In the same manner in which any sentence can be analysed in terms of "theme" of the sentence (that which is spoken about in the sentence) and "rheme" of the sentence (that which is said about the theme in the sentence), in the proposed parametric preflow-push algorithm, a "partitioning push" (a non-cancelling push of flow in the parametric residual network) might leave the node unbalanced for only a subinterval of the range of parameter values. This will lead to separating the problem for the two disjoints subintervals, which allows the algorithm to continue after the same rules, independently, on each of the partitioned subintervals. The algorithm runs as the template-like structure of a dialogue act which reveals a design where information about the items (part-of-speech) is a two sections vector with one segment for each of the used part of speech categories. The article also proposes a possible application of the algorithm in assessing legal information and in semantic evaluation of legislation.

Author Biography

Livia Sangeorzan, Transilvania University of Brasov Faculty of Mathematics and Informatics B-dul Eroilor 29, 500036, Brasov, Romania

Transilvania University of Brasov
Faculty of Mathematics and Informatics

Department of Mathematics and Informatics

Assoc.Prof.Dr. Livia Sangeorzan

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Published

2015-11-16

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