\begin{tikzpicture}[row sep=large, column sep=small]
  
    \node [style=black node] (1) at (0, 0) {};
    \node at (0, -0.3) {$1$};
    
    \node [style=black node] (3) at (1, 0) {};
    \node at (1, -0.3) {$3$};
    
    \node [style=black node] (4) at (2, 0) {};
    \node at (2, -0.3) {$4$};
    
    \node [style=black node] (2) at (2, 1) {};
    \node at (2, 1.3) {$2$};
    
    \node [style=black node] (5) at (3, 0) {};
    \node at (3, -0.3) {$5$};
    
    \node [style=black node] (6) at (4, 0) {};
    \node at (4, -0.3) {$6$};
    
    \node [style=black node] (7) at (5, 0) {};
    \node at (5, -0.3) {$7$};
    
    \node [style=black node] (8) at (6, 0) {};
    \node at (6, -0.3) {$8$};
    
    \node [style=white node] (9) at (7, 0) {};
    \node at (7, -0.3) {$9$};
    
    \node at (5, 1) {$\tilde B_7(2) \subset G_{(9, 9, 1)_1}$};
    
    
    \draw (1) to (4);
    \draw (4) to (2);
    \draw (4) to (8);
    \draw [style=double edge] (8) to (9);
    
    \begin{pgfonlayer}{background}
    \fill[cyan,opacity=0.2] \convexpath{3,9}{8pt};
    \fill[cyan,opacity=0.2] \convexpath{2,4}{8pt};
    \fill[cyan,opacity=0.2] \convexpath{3,4}{8pt};
    \end{pgfonlayer}
    
    \end{tikzpicture}