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Problems on mathematical safes on graphs

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Cybernetics and Systems Analysis Aims and scope

Abstract

For given two sets of locks, the corresponding problems on mathematical safes are formulated on graphs. In the first set, all the locks have the same number of sates and, in the second set, any pair of locks can consist of different numbers of sates. A number of conditions are obtained under which there exist solutions to these problems for safes specified on directed or undirected single graphs such as a path, a chain, a cycle, and a star.

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References

  1. G. A. Donets and Bin Zhang, “Statement and solution of some problems on a mathematical safe,” Cybernetics and Systems Analysis, No. 3, 3–14 (2006).

  2. H. Hasse, Vorlesungen uber Zahlentheorie [Russian translation], Izd. Inostr. Lit., Moscow (1953).

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Authors and Affiliations

  1. Cybernetics Institute, National Academy of Sciences of Ukraine, Kiev, Ukraine

    G. A. Donets

  2. National Technical University “Kiev Polytechnic Institute,”, Kiev, Ukraine

    Bin Zhang

Authors
  1. G. A. Donets
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  2. Bin Zhang
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Translated from Kibernetika i Sistemnyi Analiz, No. 5, pp. 14–21, September–October 2006.

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Donets, G.A., Zhang, B. Problems on mathematical safes on graphs. Cybern Syst Anal 42, 624–630 (2006). https://doi.org/10.1007/s10559-006-0099-y

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  • DOI: https://doi.org/10.1007/s10559-006-0099-y

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