Mathematical apparatus for finding the optimal configuration secure communication network with a specified number of subscribers

Volodymyr Khoroshko; Yuliia Khokhlachova; Oleksandr Laptiev; Al-Dalvash Ablullah Fowad

doi:10.35784/iapgos.6406

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Published: Mar 31, 2025

DOI: https://doi.org/10.35784/iapgos.6406

Issue Vol. 15 No. 1 (2025)

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DOI

https://doi.org/10.35784/iapgos.6406

Authors

Volodymyr Khoroshko

professor_va@ukr.net

National Aviation University Department of Security of Information Technologies, Ukraine

Yuliia Khokhlachova

yuliiahohlachova@gmail.com

National Aviation University Department of Security of Information Technologies, Ukraine

https://orcid.org/0000-0002-0787-5112

Oleksandr Laptiev

olaptiev@knu.ua

Taras Shevchenko National University of Kyiv Department of Cyber Security and Information Protection, Ukraine

https://orcid.org/0000-0002-4194-402X

Al-Dalvash Ablullah Fowad

abdullah.dalosh@gmail.com

National Aviation University Department of Security of Information Technologies, Ukraine

https://orcid.org/0000-0002-1003-9182

Abstract

Information flows in the world are growing very quickly. The exchange of information is growing rapidly. In connection with this fact, the existing mathematical apparatus and its practical application are constantly developing. The scientific and mathematical apparatus is aimed at finding the optimal configuration of the information communication network, solving the problem of building protected channels for the transmission of a large amount of data. A scientific task arises to develop a new and improve the existing mathematical apparatus for finding the optimal configuration of a protected communication network with a given number of subscribers. This scientific work is dedicated to the solution of this urgent task. The paper formulated and proved four Lemmas. The formulation of the Lemma made it possible to prove two new theorems that allow solving the task of finding the optimal configuration of a protected communication network with a given number of subscribers. Solutions to both partial and general tasks of the process of optimization and protection of transmission channels of a large amount of data are provided. Thus, the paper proposes a solution to the scientific task of finding the optimal configuration of a protected communication network with a given number of subscribers. The direction of further research may be the development of a software implementation of the given mathematical apparatus.

Keywords:

optimal configuration, communication network, subscriber, lemma, theorem, information protection

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Khoroshko, V., Khokhlachova, Y., Laptiev, O., & Ablullah Fowad, A.-D. (2025). Mathematical apparatus for finding the optimal configuration secure communication network with a specified number of subscribers. Informatyka, Automatyka, Pomiary W Gospodarce I Ochronie Środowiska, 15(1), 62–66. https://doi.org/10.35784/iapgos.6406

Mathematical apparatus for finding the optimal configuration secure communication network with a specified number of subscribers

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