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MATHEMATICAL APPROACHES TO NETWORK THEORY
Author(s):
Neha Singh
Designation:
Student
Country:
India
Abstract:
This review paper explores the mathematical foundations and recent advancements in network theory, emphasizing its applications in complex systems across various domains, including computer science, biology, sociology, and engineering. Key mathematical tools such as graph theory, optimization, and probability theory are highlighted for their role in understanding and optimizing the structure, behaviour, and dynamics of interconnected systems. The paper also discusses the integration of Software Defined Networking (SDN) and formal methods as new approaches to overcome the scalability and robustness challenges of traditional network designs. Additionally, techniques like network exploration, sampling, and spectral graph methods are examined for their importance in analyzing Big Data and enhancing network efficiency. The review concludes by emphasizing the need for continued research in modular network design, scalability, and resilience to address the growing complexity of modern networks.
Keywords:
Network Theory, Graph Theory, Optimization, Probability Theory, Software Defined
Networking (SDN), Formal Methods, Scalable Algorithms, Network Structure, Flow Dynamics, Centrality,
Community Detection, Network Robustness, Big Data, Network Analysis
Domain:
Mathematics
Published In:
Volume 1, Issue 3, (November-December 2024)
Published On:
27 January 2025
Citation:
DOI:
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