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.
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