$4.$ Consider the graph below. Perform a breadth$-$first$-$search of the graph, starting from the vertex labeled a$.$ Assume the vertices in the adjacent list to each vertex are considered in alphabetical order. Please follow the steps shown in Figure $20\mathrm{.}3$ of the textbook. $(30$ Points$)$

$5.$ Consider the graph below. Perform a depth$-$first$-$search of the graph, starting from the vertex labeled $\backslash (\backslash$mathbf$\{$a$\}\backslash )$ and $\backslash (\backslash$mathbf$\{$f$\}\backslash ).$ Assume the vertices in the adjacent list to each vertex are considered in alphabetical order. Please follow the steps shown in Figure $20\mathrm{.}4$ of the textbook. $(30$ Points$)$