Question: (a)Is there an undirected graph with 7 vertices such that five of the vertices have degree 3 and the remaining two have degree 4? If

(a)Is there an undirected graph with 7 vertices such that five of the vertices have degree 3 and the remaining two have degree 4? If yes, then draw the graph and if not, then prove your answer.

In the following, let T denote a full 3-ary (rooted) tree with 25 vertices. Justify your answers to the questions below.

(b) Find the number of internal vertices (denote it by i) and the number of leaves of T (denote it by l).

(d) If T is balanced, then what is the height of T?

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