In a graph, what does it mean if there is a path from vertex A to vertex B?

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Question: In a graph, what does it mean if there is a path from vertex A to vertex B?

Options:

Correct Answer: A is connected to B

Solution:

If there is a path from vertex A to vertex B, it means that A is connected to B through a series of edges.

In a graph, what does it mean if there is a path from vertex A to vertex B?

In a graph, what does it mean if there is a path from vertex A to vertex B?

Step 1: Understand what a graph is. A graph consists of points called vertices (or nodes) and lines connecting them called edges.
Step 2: Identify the two vertices in question: vertex A and vertex B.
Step 3: Look for a series of edges that connect vertex A to vertex B.
Step 4: If you can find a way to travel from A to B by following the edges, then there is a path from A to B.
Step 5: If there is no way to travel from A to B using the edges, then there is no path.

Graph Theory – Understanding the relationship between vertices and edges in a graph.
Path Connectivity – The concept that a path exists if there is a sequence of edges connecting two vertices.