$(5$ points$)$ There is a directed graph with $8$ vertices and the following directed edges

$(u,v)$ means $(uv)$ :

$(a,b)$

$(a,e)$

$(b,c)$

$(c,d)$

$(c,e)$

$(d,h)$

$(e,d)$

$($f$,$ e$)$

$($f$,$ g$)$

$(g,h)$

$(h,f)$

In these three questions, you can draw or use: a: b$,$ c notation instead of drawing.

$11\mathrm{.}1$: $(1$ points$)$ Draw $($or write$)$ the graph

$11\mathrm{.}2$: $(1$ points$)$ Draw $($or write$)$ the adjacency matrix

$11\mathrm{.}3$: $(1$ points$)$ Draw $($or write$)$ the adjacency list

$11\mathrm{.}4$: $(1$ points$)$ DFS trace of the vertices from $($a$)($vertices$)$

$11\mathrm{.}5$: $(1$ points$)$ BFS trace of the vertices from $($a$)($vertices$)$