Which of the following statements about Dijkstra's algorithm is true?
Practice Questions
Q1
Which of the following statements about Dijkstra's algorithm is true?
It can handle negative weight edges.
It always finds the shortest path.
It is a depth-first search algorithm.
It can be used for unweighted graphs only.
Questions & Step-by-Step Solutions
Which of the following statements about Dijkstra's algorithm is true?
Step 1: Understand what Dijkstra's algorithm is. It is a method used to find the shortest path from one point to another in a graph.
Step 2: Know that a graph consists of nodes (or vertices) connected by edges (or links).
Step 3: Recognize that Dijkstra's algorithm works best when the weights (or costs) of the edges are non-negative, meaning they cannot be less than zero.
Step 4: Remember that if there are negative weights in the graph, Dijkstra's algorithm may not give the correct shortest path.
Step 5: Conclude that the true statement about Dijkstra's algorithm is that it always finds the shortest path in graphs with non-negative weights.
