A Comprehensive Review of Mathematical Modelling using Graphs

Abstract

This article provides a detailed insight into the applications and methods of mathematical modeling  using graphs. Graph theory has proven to be a powerful tool for representing and analyzing complex  systems in diverse fields such as computer science, social networks, transportation, biology, etc. This  paper covers the importance of graph theory for solving real-world problems. Mathematical modeling  using graph theory includes graphical representations, algorithms, and their applications in network  analysis, optimization, and decision-making. The article examines the development of graphical  modeling and shows its growing importance in interdisciplinary research. This comprehensive review  explores the rich landscape of mathematical modeling using graphs and is intended to serve as a  valuable resource for researchers, educators, and practitioners in various fields seeking insights into  innovative applications and evolving trends in the industry.