Given below is information about a network. Choose one of the following three$$ options: the network is definitely a$$ tree; the network is definitely not a$$ tree; the network may or may not be a tree$($more information is$$ needed$).$ Accompany your answer with a brief explanation for your choice.

The network has seven $$vertices$,$ no$$ loops, and no multiple$$ edges, and has two vertices of degree $1$ and five vertices of degree $2.$