Kruskal's Algorithm: Building the Minimum Spanning Tree Graphs play a crucial role in various fields, from network optimization to geographic mapping. One essential algorithm that helps in efficiently connecting all nodes in a graph with minimal cost is Kruskal’s Algorithm . Inspired by the research paper "The Implementation of Kruskal’s Algorithm for Minimum Spanning Tree in a Graph" published in E3S Web of Conferences , this blog explores how Kruskal’s Algorithm works, provides a step-by-step implementation in Python, and discusses its real-world applications. Understanding Kruskal’s Algorithm Kruskal’s Algorithm follows a greedy approach , where it builds the MST by adding edges in increasing order of weight while avoiding cycles. The MST is a subset of the graph that connects all vertices with the minimum possible total edge weight. Steps of Kruskal’s Algorithm Sort all edges in ascending order based on weight. Pick the smallest edge and add it to the ...