Kruskal's Algorithm: Exploring Solutions and Real-World Applications

This report provides a comprehensive overview of Kruskal's algorithm, a fundamental concept in computer science and graph theory. It begins by defining the problem, explaining the concept of a minimum spanning tree, and detailing the algorithm's steps. The report then delves into real-world applications, including network design (telephone and electrical cables), business applications, and solutions to NP-hard problems like the Steiner tree and traveling salesperson problems. The report also discusses the greedy algorithm approach used to solve Kruskal's algorithm, providing a step-by-step explanation of the process. The report includes visual aids such as figures and tables to illustrate key concepts and steps, and concludes by highlighting the algorithm's efficiency in finding the minimum cost spanning tree, with an example using an electronic circuit. This report is a valuable resource for students seeking to understand and apply Kruskal's algorithm.