Applied Graph Theory: Techniques and Case Studies from Computational and Scientific Domains

Author(s)	Ms. Savithri Halagannanavar
Country	India
Abstract	Graph theory is a foundational discipline within mathematics and computer science that studies the properties and structures of graphs, which consist of vertices (nodes) and edges (connections). Beyond its theoretical significance, graph theory serves as a powerful analytical tool for modelling complex systems and relationships in a wide range of real-world applications. This paper provides a comprehensive overview of the practical uses of graph theory across various domains, including computer science, biology, sociology, and transportation systems. By examining how graph-based models are employed to solve problems such as network optimization, biological pathway analysis, and social network mapping, the study underscores the versatility and interdisciplinary relevance of graph theory in addressing contemporary challenges.
Keywords	Graph theory, Network modelling, Complex systems, Real-world applications, Interdisciplinary analysis
Field	Mathematics
Published In	Volume 6, Issue 4, July-August 2025
Published On	2025-08-05
DOI	https://doi.org/10.63363/aijfr.2025.v06i04.1071
Short DOI	https://doi.org/g9zx69

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