Algorithms Analysis Practice Test 2025 - Free Algorithms Practice Questions and Study Guide

Kruskal's Algorithm is specifically designed to find the Minimum Spanning Tree (MST) of a connected graph. The algorithm operates by sorting all the edges of the graph in non-decreasing order based on their weights. It then processes these edges in that sorted order, adding each edge to the growing spanning tree if it doesn't create a cycle. This approach effectively ensures that the tree remains acyclic while connecting all vertices with the minimal total edge weight.

Kruskal's Algorithm is particularly valuable in scenarios where the graph is sparse, as it focuses on edge selection rather than vertex connectivity, making it efficient for graphs with fewer edges.

In contrast, other algorithms listed do not serve the purpose of finding an MST. The A* Algorithm is primarily used for pathfinding and graph traversal, making it suitable for finding the shortest path rather than an MST. Bubble Sort is a sorting algorithm that has no relevance to graph theory or spanning trees. The Floyd-Warshall Algorithm is utilized for finding the shortest paths between all pairs of vertices, which is a completely different problem than finding a minimum spanning tree.