Which of the following algorithms uses dynamic programming to solve the problem
Practice Questions
Q1
Which of the following algorithms uses dynamic programming to solve the problem of finding the shortest path in a weighted 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 solve the problem of finding the shortest path in a weighted graph?
Step 1: Understand what a weighted graph is. A weighted graph is a graph where each edge has a numerical value (weight) that represents the cost to travel from one vertex to another.
Step 2: Learn about the shortest path problem. This problem involves finding the path between two vertices in a graph that has the smallest total weight.
Step 3: Know that there are different algorithms to solve the shortest path problem. Some of these algorithms can handle graphs with negative weights.
Step 4: Identify the Bellman-Ford Algorithm. This algorithm is specifically designed to find the shortest path in graphs that may have negative weights.
Step 5: Recognize that the Bellman-Ford Algorithm uses dynamic programming. This means it breaks the problem down into smaller subproblems and solves each one to build up the solution to the overall problem.
