Find a minimum spanning tree in the $($edge$-$weighted$)$ graph below. The weights of the edges of the graph are indicated by the numbers on the edges.

Q$1\mathrm{.}1$ Total weight

What is the total weight of your spanning tree $?$

Q$1\mathrm{.}2$ Neighbours of a :

What are the neighbours of vertex a in the minimum spanning tree? Give them in alphabetic order without any separators. For instance, if you think that the neighbors of a in the minimum spanning tree are b and e$,$ then write be$.$

Q$1\mathrm{.}3$ Neighbours of b :

What are the neighbours of vertex b in the minimum spanning tree?

Q$1\mathrm{.}4$ Neighbours of c:

What are the neighbours of vertex c in the minimum spanning tree?

Q$1\mathrm{.}5$ Neighbours of d:

What are the neighbours of vertex d in the minimum spanning tree?

Q$1\mathrm{.}6$ Neighbours of e:

What are the neighbours of vertex e in the minimum spanning tree?

Q$1\mathrm{.}7$ Neighbours of f:

What are the neighbours of vertex f in the minimum spanning tree?

Q$1\mathrm{.}8$ Neighbours of g:

What are the neighbours of vertex g in the minimum spanning tree?

Q$1\mathrm{.}9$ Neighbours of h:

What are the neighbours of vertex h in the minimum spanning tree?

Q$1\mathrm{.}10$ Neighbours of i:

What are the neighbours of vertex i in the minimum spanning tree?

Q$1\mathrm{.}11$ Neighbours of j:

What are the neighbours of vertex j in the minimum spanning tree?

Q$1\mathrm{.}12$ Neighbours of k:

What are the neighbours of vertex k in the minimum spanning tree?

Q$1\mathrm{.}13$ Neighbours of l:

What are the neighbours of vertex L in the minimum spanning tree?

Q$1\mathrm{.}14$ Neighbours of p:

What are the neighbours of vertex p in the minimum spanning tree?

Q$1\mathrm{.}15$ Number of Minimum

Spanning Trees:

How many distinct minimum spanning trees does the given graph have?