Question: Let G = ( V , E ) be an undirected graph with | V | 1 . ( a ) Prove that every connected

Let G=(V,E) be an undirected graph with |V|1.
(a) Prove that every connected component in an acyclic graph is a tree.
(b) Suppose G has k connected components. Prove that if G is acyclic, then |E|=|V|-k.
(c) Prove that a graph with |V| edges contains a cycle.
Let G=(V,E) be an undirected graph with |V|1. (a) Prove that

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