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- Use breadth-first search to produce a spanning tree for the simple graph shown below…Please use a tree diagram!Use the Pruning Map Bijection to do the following.(a) Find the word associated to the tree:•4 •6 •2•8 •5 •3•1 •9 •7(b) Find the tree with vertex set {1, 2, 3, 4, 5, 6, 7, 8, 9} associated to the word 2466284.(Hint: you may find it helpful to watch the lecture recording, besides looking at thelecture notes).