Spanning Trees

A spanning tree of a connected graph G is a connected subgraph of G having to cycles.

        

Spanning Trees:

        
With weights:
        

S1 has weight 3+2+4 = 9

S2 has weight 2+4+1 = 7

S3 has weight 3+2+1 = 6

S4 has weight 3+4+1 = 8