SOLUTION: Is it B? I want to check my answers. Which Vertices have MULTIPLE EDGES? A. Vertex A and Vertex E B. Both A and B C. Vertex A and Vertex D D. Vertex B and Vertex C

Question 1160793: Is it B? I want to check my answers.
Which Vertices have MULTIPLE EDGES?
A. Vertex A and Vertex E
B. Both A and B
C. Vertex A and Vertex D
D. Vertex B and Vertex C

The graph for the question and the question itself are in the link here: https://i.imgur.com/EvCiRkQ.png
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

Multiple edges (or parallel edges) are two or more edges that directly connect two vertices.

I can't find anywhere, in the little bit of literature I have seen, an example of how the term "multiple edges" is used in relation to the vertices.

If, for example, there are two edges connecting vertex A and vertex B, can you say that vertex A has multiple edges? And can you say that vertex B has multiple edges? Or is it necessary to include BOTH vertices in the statement, to say that vertices A AND B have multiple edges?

It would seem to me to be appropriate that saying a single vertex has multiple edges is not correct; in naming vertices that "have multiple edges", it should be necessary to name the vertices in pairs.

In the given graph, vertices A and E are directly connected by two different edges. Those edges are parallel edges, or multiple edges, by definition. So vertex A and vertex E have multiple edges.

So answer A is correct.

In the given graph, vertices B and C are directly connected by three different edges. Those edges are parallel edges, or multiple edges, by definition. So vertex B and vertex C have multiple edges.

So answer D is correct.

If it is correct to say that a single vertex has multiple edges, then vertices A, B, C, and E all do. And that would make answer B correct -- although incomplete.

So it seems to me that answers A and D are both correct, and answer B is partially correct.

And so, if the question is supposed to have a single correct answer, then I have no idea which it is.

RELATED QUESTIONS
Is it B? I want to check my answers. Which Vertices have MULTIPLE EDGES? A. Vertex... (answered by MathLover1)

Is it B? I want to check my answers. Which Vertices have MULTIPLE EDGES? A. Vertex (answered by MathLover1)

Is it A? I want to check my answers. Which two vertices are ADJACENT to each other? (answered by greenestamps)

Is it A? I want to check my answers. Which two vertices are ADJACENT to each other? (answered by ikleyn,jim_thompson5910)

Is it B? I want to check my answers. Which of the following best describes a... (answered by jim_thompson5910)

Is it A? I want to check my answer. Which of the following best describes a... (answered by jim_thompson5910)

Is it C? I want to check my answers. Which of the following is one of the cheapest... (answered by greenestamps)

Is it D? I want to check my answer. What is the degree of Vertex E? A. 3 B. 1 (answered by MathLover1)

Is it C? I want to check my answer. What is the degree of vertex A? A. 4 B. 5 (answered by MathLover1)