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What is the minimum number of nodes and arcs

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Reference no: EM131636659

Question: 1. What is the minimum number of nodes and arcs that need to be deleted to reduce a full binary tree of height ≥ 2 to a forest of 4 binary trees?

2. Let G be a simple graph. Prove that G is a nonrooted tree if and only if G is connected and if the removal of any single arc from G makes G unconnected

3. Let G be a simple graph. Prove that G is a nonrooted tree if and only if G is connected and the addition of one arc to G results in a graph with exactly one cycle?

Reference no: EM131636659

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