Unravel the Code! 2025 Algorithms Analysis Test – Ace It Like a Pro!

Dijkstra's Algorithm is widely used for finding the shortest path in a graph, particularly when dealing with graphs that have non-negative edge weights. The algorithm operates by maintaining a set of vertices that have been confirmed to have the shortest path from the source vertex. It iteratively selects the vertex with the smallest tentative distance, updates the distances to neighboring vertices, and repeats this process until the shortest path to all vertices has been determined.

This method is efficient in a variety of scenarios, including road networks and network routing, where it’s crucial to find the most efficient route from one point to another. Dijkstra's Algorithm is optimal for graphs without negative weight edges, as it guarantees finding the least costly path through systematic exploration and updating of distances based on choice principles.

The other algorithms mentioned serve different purposes. Kruskal’s and Prim’s algorithms are used for finding minimum spanning trees, which aim to connect all vertices in a graph without cycles and with the smallest possible total edge weight. Merge Sort, on the other hand, is a sorting algorithm and does not pertain to graph pathfinding. Therefore, Dijkstra's Algorithm is the correct answer for finding the shortest path in a graph.