In a graph, if all edges have the same weight, which algorithm can be used to fi

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Question: In a graph, if all edges have the same weight, which algorithm can be used to find the shortest path?

Options:

Correct Answer: Breadth-First Search (BFS)

Solution:

When all edges have the same weight, Breadth-First Search (BFS) can be used to find the shortest path.

In a graph, if all edges have the same weight, which algorithm can be used to find the shortest path?

In a graph, if all edges have the same weight, which algorithm can be used to find the shortest path?

Step 1: Understand that a graph consists of nodes (or vertices) connected by edges.
Step 2: Recognize that when all edges have the same weight, it means each edge contributes equally to the path length.
Step 3: Learn that Breadth-First Search (BFS) is a method used to explore the graph level by level.
Step 4: Realize that BFS will find the shortest path in an unweighted graph (or a graph with equal edge weights) because it explores all nodes at the present depth before moving on to nodes at the next depth level.
Step 5: Conclude that since BFS explores all possible paths equally, it guarantees finding the shortest path when all edges are the same.

Graph Theory – Understanding the properties and algorithms related to graphs, particularly in finding shortest paths.
Breadth-First Search (BFS) – An algorithm that explores the neighbor nodes at the present depth prior to moving on to nodes at the next depth level, effective for unweighted graphs.