Answer
The original statement in the question is: The circuit along this graph is not a path. This statement does not make sense. By definition, a circuit is a type of path.
Work Step by Step
If there is at least one edge connecting two vertices in a graph, the vertices are called adjacent. A sequence of adjacent vertices is called a path. If this sequence of adjacent vertices begins and ends at the same vertex, it is called a circuit. Therefore, a circuit is a specific type of path.
The original statement in the question is: The circuit along this graph is not a path. Clearly, this statement does not make sense. A circuit, by definition, is a type of path. Therefore, by definition, a circuit must be a path.
