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

Dijkstra's algorithm is specifically designed to find the shortest paths from a single source vertex to all other vertices in a weighted graph. The algorithm operates under the premise that it starts at a chosen source node and computes the shortest distance to each reachable node. Consequently, it does not determine the shortest paths from all vertices to a given vertex; rather, it focuses solely on the shortest paths emanating from the source.

The notion of finding paths from all vertices to a given vertex implies a reversal in perspective that Dijkstra's algorithm does not accommodate unless adjustments are made. In its standard application, the source is fixed, and the algorithm works outwards to find the shortest route to other nodes. So in the context of the question, the statement is false.

Options proposing that it is true or dependent on the graph type could mislead as they suggest broader applicability than the algorithm's design allows. Additionally, while it is true that Dijkstra's algorithm is relevant to weighted graphs, this aspect alone does not address the specific functionality described in the statement. Thus, the correct assertion is that Dijkstra's algorithm does not find the shortest paths from all vertices to a given vertex, confirming the conclusion.