Consider the path represented by the numbered sequence of edges on the graph below. Which statement is true?

Question

Quizplus · Accepted Answer

The path is a circuit because it starts and ends at the same vertex (1), and it visits every vertex and edge exactly once. However, it is not an Euler circuit because it contains two vertices with odd degree (3 and 4), meaning that it is not possible to traverse every edge exactly once and return to the starting vertex. Therefore, the correct answer is C.

Consider the Path Represented by the Numbered Sequence of Edges