Question: Problem 11. (10 points) Use induction to prove that any graph with n3 vertices and n edges has a cycle. Problem 12. (10 points) Use

Problem 11. (10 points) Use induction to prove that any graph

Problem 11. (10 points) Use induction to prove that any graph with n3 vertices and n edges has a cycle. Problem 12. (10 points) Use induction to prove that i=1N(2i1)=N2. Problem 13. (10 points) Prove if n7 then 2(n7)2+4lg(n2)+3nlg(n2)+n/210n2 (you can use basic, well known mathematical facts, but should show any non-obvious step)

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