The number of edges connected to a vertex describes which of the following?
A) a complete graph
B) the neighbor of a vertex
C) the degree of a vertex
D) whether a graph is connected

Question

Quizplus · Accepted Answer

The number of edges connected to a vertex is defined as the degree of the vertex. Therefore, choice C is the correct answer. A complete graph is a graph where every vertex is connected to every other vertex, so the number of edges connected to a vertex in a complete graph is constant and does not depend on the particular vertex. The neighbor of a vertex refers to the set of vertices that are directly connected to the given vertex by an edge. The number of edges connected to a vertex does not provide information about whether a graph is connected or not.

The Number of Edges Connected to a Vertex Describes Which