Publication Date: 2024/03/08
Abstract: A basic component of mathematics titled graph theory has developed into a potent instrument with a wide range of real-world uses. This study offers a thorough analysis of graph theory, looking at its theoretical underpinnings, practical applications, and complex algorithms that enable its use in a wide range of areas. Complex issues related to domains like transportation systems, social networks, and logistics are addressed by graph theory. The study examines the work being done at the Mathematics Dept of Sri Chandrasekharendra Saraswathi Viswa Mahavidyalaya (SCSVMV), in Kanchipuram, Tamil Nadu State, India, with an emphasis on the interdisciplinary implications of graph theory. It looks at how graph theory has developed historically, how it has been applied in a variety of domains, including biology, computer science, social networks, and transportation, as well as how graph theory has been used to solve real-world issues. The relevance of multidisciplinary research in graph theory is highlighted in the paper's conclusion, which also suggests directions for future investigation.
Keywords: Graph Theory, Network Analysis, Algorithms, Applications, Transportation, Scheduling, Social Networks, Logistics, Computational Complexity, Interdisciplinary Research, Sri Chandrasekharendra Saraswathi Viswa Mahavidyalaya (SCSVMV) Kanchipuram, Tamilnadu, Practical Problems, Research Findings, K. Srinivasa Rao, K. Pramila, R.Mageswari, And D. Vijaya Laxmi.
DOI: https://doi.org/10.5281/zenodo.10796981
PDF: https://ijirst.demo4.arinfotech.co/assets/upload/files/IJISRT24MAR261.pdf
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