In a weighted graph, if all edge weights are equal, which algorithm can be used
Practice Questions
Q1
In a weighted graph, if all edge weights are equal, which algorithm can be used instead of Dijkstra's?
Depth-First Search
Breadth-First Search
A* Search
Bellman-Ford Algorithm
Questions & Step-by-Step Solutions
In a weighted graph, if all edge weights are equal, which algorithm can be used instead of Dijkstra's?
Step 1: Understand that a weighted graph has edges with weights (costs) associated with them.
Step 2: Recognize that if all edge weights are equal, it means moving from one node to another costs the same regardless of the path taken.
Step 3: Know that Dijkstra's algorithm is used to find the shortest path in graphs with varying edge weights.
Step 4: Realize that when all edge weights are equal, the shortest path can be found more simply.
Step 5: Learn that Breadth-First Search (BFS) is a suitable algorithm for this situation because it explores all nodes at the current depth before moving deeper.
Step 6: Conclude that using BFS will efficiently find the shortest path in a graph where all edge weights are the same.