Given the following graph P with:

Vertex set $V(P)=\{0,1,2,3,4,5\}$

Edge set: $E(P)=\{(0,3),(2,4),(3,1),(3,2),(0,6),(1,5),(4,0),(5,0),(6,4)\}$

Which of the following is the correct adjacency matrix for the graph P$?$ Each row and column correspond to the vertices in the order $\{0,1,2,3,4,5\}$

a$.$ Not one of the options availabe, is correct

b$.\left[\begin{array}{ccccccc}0& 0& 0& 1& 0& 0& 1\\ 0& 0& 0& 0& 0& 1& 0\\ 0& 0& 0& 0& 1& 0& 0\\ 0& 1& 1& 0& 0& 0& 0\\ 1& 0& 0& 0& 0& 0& 0\\ 1& 0& 0& 0& 0& 0& 0\\ 0& 0& 0& 0& 1& 0& 0\end{array}\right]$

c$.\left[\begin{array}{ccccccc}1& 0& 0& 1& 0& 0& 1\\ 0& 1& 0& 0& 0& 1& 0\\ 0& 0& 1& 0& 1& 0& 0\\ 0& 1& 1& 1& 0& 0& 0\\ 1& 0& 0& 0& 1& 0& 0\\ 1& 0& 0& 0& 1& 1& 0\\ 0& 0& 0& 0& 1& 0& 1\end{array}\right]$

d$.$ It is not a solvable Edge set $-$ unable to draw a matrix

e$.\left[\begin{array}{ccccccc}1& 0& 0& 0& 0& 0& 0\\ 0& 1& 0& 0& 0& 0& 0\\ 0& 0& 1& 0& 0& 0& 0\\ 0& 0& 0& 1& 0& 0& 0\\ 0& 0& 0& 0& 1& 0& 0\\ 0& 0& 0& 0& 1& 0& ?\\ 0& 0& 0& 0& 0& 1& ?\end{array}\right]$

$15C$

Sunny