Which of the following algorithms uses dynamic programming to find the shortest
Practice Questions
Q1
Which of the following algorithms uses dynamic programming to find the shortest path in a graph?
Dijkstra's Algorithm
Bellman-Ford Algorithm
A* Search
Depth First Search
Questions & Step-by-Step Solutions
Which of the following algorithms uses dynamic programming to find the shortest path in a graph?
Step 1: Understand what dynamic programming is. It is a method for solving complex problems by breaking them down into simpler subproblems and storing the results of these subproblems to avoid computing the same results multiple times.
Step 2: Know that a graph is a collection of nodes (or vertices) connected by edges. The shortest path problem involves finding the shortest route from one node to another.
Step 3: Identify the algorithms that are commonly used to find the shortest path in graphs. Some examples include Dijkstra's Algorithm, A* Algorithm, and Bellman-Ford Algorithm.
Step 4: Recognize that Dijkstra's Algorithm works well with non-negative weights but does not handle negative weights. In contrast, the Bellman-Ford Algorithm can handle graphs with negative weights.
Step 5: Conclude that the Bellman-Ford Algorithm is the one that uses dynamic programming to find the shortest path in a graph, especially when negative weights are present.
