Which of the following statements for a simple graph is correct?Group of answer choicesEvery path is a trailEvery trail is a pathEvery trail is a path as well as every path is a trailPath and trail have no relation
Question
Which of the following statements for a simple graph is correct?Group of answer choicesEvery path is a trailEvery trail is a pathEvery trail is a path as well as every path is a trailPath and trail have no relation
Solution
The correct statement for a simple graph is "Every trail is a path".
Here's why:
In graph theory, a path in a graph is a finite or infinite sequence of edges which connect a sequence of vertices which, by most definitions, are all distinct from one another.
On the other hand, a trail in a graph is a walk in which all edges are distinct.
Therefore, every trail is a path because it is a sequence of vertices connected by edges. However, not every path is a trail because a path
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