(a) The Prüfer code for a labelled tree is 333333. Sketch a graph of this tree. Justify your answer. (b) The Prüfer code
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(a) The Prüfer code for a labelled tree is 333333. Sketch a graph of this tree. Justify your answer. (b) The Prüfer code
(a) The Prüfer code for a labelled tree is 333333. Sketch a graph of this tree. Justify your answer. (b) The Prüfer code for a labelled tree is 24682. Sketch a graph of this tree. Justify your answer (c) How many labelled trees on n vertices have exactly four leaves? Justify your answer. (d) We say a tree is rooted if there is a special vertex that is marked on the tree; this vertex is known as the root. How many labelled rooted trees are there on n vertices? Justify your answer.
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