What is the main advantage of using Dijkstra's algorithm over brute-force method
Practice Questions
Q1
What is the main advantage of using Dijkstra's algorithm over brute-force methods?
It is simpler to implement
It guarantees the shortest path in polynomial time
It can handle larger graphs
It uses less memory
Questions & Step-by-Step Solutions
What is the main advantage of using Dijkstra's algorithm over brute-force methods?
Step 1: Understand what Dijkstra's algorithm is. It is a method used to find the shortest path between points in a graph.
Step 2: Know what brute-force methods are. These methods try every possible path to find the shortest one, which can take a long time.
Step 3: Compare the efficiency of both methods. Dijkstra's algorithm is designed to find the shortest path faster than brute-force methods.
Step 4: Learn about polynomial time. This means that Dijkstra's algorithm can find the shortest path in a reasonable amount of time, even for larger graphs.
Step 5: Conclude that the main advantage of Dijkstra's algorithm is its efficiency, allowing it to find the shortest path quickly compared to brute-force methods.
