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FindSpanningTree(Graph({a,b,c,d,e,f},{a<->b,a<->d,b<->c,b<->d,b<->e,c<->e,c<->f,d<->e,e<->f}, {EdgeWeight->{1.0,3.0,6.0,5.0,1.0,5.0,2.0,1.0,4.0}}))
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