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1.Given an acyclic graph G with n vertices and k 1 connected components. Find and prove how many edges in G. 2. Suppose that the
1.Given an acyclic graph G with n vertices and k 1 connected components. Find and prove how many edges in G.
2. Suppose that the adjacency matrix for some graph is nilpotent. Recall that a nilpotent matrix A is one for which Ak = 0 (zero matrix) for some k.What does that tell you about the graph? Be specific and detailed.Include two useful examples.
3. Use induction to prove the number of nodes in rooted tertiary (3-ary) tree with k levels, when all possible nodes are present.
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