For the undirected, weighted graph given below,

A$.$ Which of the following sequences of edges represents a correct execution of

$($i$)(a,b),(d,f),(f,c),(g,i),(d,a),(g,h),(c,e),(f,h)$

$($ii$)(c,e),(c,f),(f,d),(d,a),(a,b),(g,h),(h,f),(g,i)$

$($iii$)(d,f),(f,c),(d,a),(a,b),(c,e),(f,h),(g,h),(g,i)$

Justify your answer. Give reasons why an option is correct or incorrect.

B$.$ Find out the Minimum spanning tree of the graph above using Kruskal's algorithm.