• VanithaG.R
• Rekha R
• Anitha C.V
• Janavi R
• Bhavitha B. G

The field of mathematics serves a critical role across various domains, with Graph Theory emerging as a particularly significant area. Graphs are highly regarded as effective modeling tools, capable of representing diverse types of relationships in any given situation. This paper offers an overview of Graph Theory's applications across heterogeneous fields, with a primary emphasis on its utilization in Geosciences, particularly within quantitative geography and landscape ecology. Additionally, it explores how Graph Theory contributes to Image Processing by facilitating the segmentation of digital images into distinct regions, thereby aiding in image analysis. Furthermore, Graph Theory plays a crucial role in economics, where it helps in comprehensively understanding complex systems and their interdependencies. Through the examination of various papers on these topics, this paper provides a comprehensive overview of Graph Theory's applications in these diverse fields.

Graphs, image processing, cut-vertex, bi-partite graph, Connectivity, Constraints, Walk

"Applications of Graph Theory in Geosciences, Economics and Image Processing ", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.11, Issue 5, page no.491-495, May-2024, Available :http://www.jetir.org/papers/JETIRGG06077.pdf

"Applications of Graph Theory in Geosciences, Economics and Image Processing ", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.11, Issue 5, page no. pp491-495, May-2024, Available at : http://www.jetir.org/papers/JETIRGG06077.pdf