Multiple choice technology architecture

In a graph if e=[u, v], Then u and v are called

  1. endpoints of e

  2. adjacent nodes

  3. neighbors

  4. all of above
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

In an undirected graph with edge e=[u,v], u and v share multiple relationships: they are the endpoints of edge e, they are adjacent vertices (connected by an edge), and they are neighbors (terms often used interchangeably in graph theory). All descriptions are correct.

AI explanation

To answer this question, let's go through each option to understand why it is correct or incorrect:

Option A) Endpoints of e - This option is correct because in a graph, the edge e = [u, v] represents a connection between two nodes u and v. The nodes u and v are the endpoints of the edge e.

Option B) Adjacent nodes - This option is correct because in a graph, two nodes u and v are considered adjacent if there is an edge connecting them.

Option C) Neighbors - This option is correct because in a graph, the nodes u and v that are connected by an edge e = [u, v] are considered neighbors.

Option D) All of the above - This option is correct because all of the options A, B, and C are true. The nodes u and v are indeed the endpoints of the edge e, they are adjacent nodes, and they are neighbors.

The correct answer is D. All of the above. This option is correct because the nodes u and v in a graph are referred to as the endpoints of the edge e, adjacent nodes, and neighbors.

Keep practicing — related questions