Discrete mathematical approaches to blockchain consensus algorithms and security

Bhange, Vaishali; Shende, Priti

doi:10.47974/JDMSC-2553

Open Access Research Article

Discrete mathematical approaches to blockchain consensus algorithms and security

Vaishali Bhangevaishali.biradar@gmail.comDepartment of Electronics and TelecommunicationPimpriDr. D. Y. Patil Institute of TechnologyPune, Maharashtra, 411018, IndiaView full profile → , ^*Priti ShendeCorresponding authorpriti.jawale@dypvp.edu.inDepartment of Electronics and TelecommunicationPimpriDr. D. Y. Patil Institute of TechnologyPune, Maharashtra, 411018, IndiaView full profile →

* Corresponding author · click or hover a name for details

pp. 1005–1012Vol. 29Issue 2-BFebruary 2026DOI: 10.47974/JDMSC-2553 Crossmark XML

Received:: 13 May 2025
Published Online:: 18 Feb 2026
Article type:: Research Article
Language:: EN
Article no.:: JDMSC-2553
Pages:: 1005–1012

Abstract

In this study we used how discrete mathematics can be used to make blockchain technology safer and more reliable in this paper. Foundational ideas from number theory and graph theory are used to model and study bitcoin networks and crypto primitives. We look into how discrete mathematics tools let us evaluate agreement methods in great detail to make sure they are trustworthy and can handle mistakes in this paper. In order to make sure that the blockchain is more reliable, experts are also looking into some aspects of cryptographic hash functions. The goal of this paper is to present a complete method for improving the efficiency and safety of blockchain systems by combining several mathematical models.

Keywords

Blockchain security Cryptographic hash functions Combinatorial models Consensus algorithms Graph theory

Subject Classifications

22E40

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