**Graph Theory Question Analysis***3. Use the graph to answer the following questions:***a. Can there be a path of length bigger than 2 in the graph? Explain.**- Yes, there can be a path of length greater than 2. For example, the path \( a \to c \to d \to e \) has a length of 3.**b. Are there any non-trivial cycles in the graph? Explain.**- Yes, there are non-trivial cycles in the graph. A non-trivial cycle is a cycle that involves more than one vertex. An example is \( a \to c \to a \).**c. Give a trail of length 4.**- A trail of length 4 is a walk where no edge is repeated. One example is \( a \to c \to d \to e \to f \).**d. Give all self-loops in the graph.**- The graph contains self-loops at nodes \( a \), \( b \), and \( e \).**Graph Description:**- The graph consists of seven vertices labeled \( a, b, c, d, e, f, \) and \( g \), with directed edges indicating possible paths. The self-loops are at vertices \( a \), \( b \), and \( e \). Direct connections exist between various vertices such as \( a \to g \), \( b \to a \), \( c \to d \), and more.

Non trivial cycle : defined as the one that involves more than one vertex in the cycle.Trail : can…

Answered: Use the graph to answer the following…

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Use the graph to answer the following questions: a. Can there be a path of length bigger than 2 in the graph? Explain. b. Are there any non-trivial cycles in the graph? Explain. c. Give a trail of length 4. d. Give all self-loops in the graph.