answer with a brief explanation for your choice.

The network has $19$ vertices and $20$ edges.

Choose the correct answer below.

A$.$ The network may or may not be a tree because the number of bridges is unknown.

B$.$ The network is definitely a tree because it satisfies the $N+1$ edges property.

C$.$ The network may or may not be a tree because the number of circuits is unknown.

D$.$ The network is definitely not a tree because it violates the $N+1$ edges property.

E$.$ The network is definitely a tree because it satisfies the all$-$bridges property.

F$.$ The network is definitely a tree because it satisfies the $N-1$ edges property.

G$.$ The network is definitely not a tree because it violates the $N-1$ edges property.

H$.$ The network is definitely a tree because it satisfies the single$-$path property.