TARU PUBLICATIONS
Journal of Discrete Mathematical Sciences and Cryptography cover
Hybrid ·Peer-reviewed·ISSN (Online): 2169-0065·ISSN (Print): 0972-0529

Monthly Journal: Publishes theoretical and applied research in all areas of Discrete Mathematical Sciences, Cryptography, Combinatorics, Elliptic Curves and Information Security.

Issues up to 2022 co-published with and available at:Taylor & Francis Online
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Open Access Research Article

Exploring the integration of discrete mathematics and applied algebra in designing robust network architectures for IoT

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pp. 877–884Vol. 29Issue 2-BFebruary 2026DOI: 10.47974/JDMSC-2538 Crossmark XML
Received:
09 Apr 2025
Published Online:
16 Feb 2026
Article type:
Research Article
Language:
EN
Article no.:
JDMSC-2538
Pages:
877–884

Abstract

The rapid growth of the Internet of Things (IoT) has introduced problems of network strength, security, and efficient data management. Classic architectures of IoT are frequently lacking in the mathematical rigor needed to resist dynamic threats and network failures. Although graph-theoretic and algebraic approaches were investigated separately, their joint application is underutilized. This research seeks to fill this gap by combining discrete mathematics and applied algebra to develop strong network architecture for the IoT system. The proposed Discrete Algebraic Network Architecture (DANA) applies graph theory in topology optimization, and algebraic structures for safe data transfer. Algebraic cryptographic protocols, group theory for key management, ring theory for error correction are key parts. Experimental measurements show that DANA enhances network robustness, data reliability, and latency of the network significantly over traditional IoT models. The proposed architecture delivers robustness of 96%, data integrity of 95% and low latency of 18 ms with a high security level of 384 bits. 

Keywords

Subject Classifications

Primary 93A30Secondary 49K15

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