Question: 3. Let G be an n-vertex 3-regular graph with at most 5 cut-edges. Using Berge-Tutte Formula, prove that G has a matching with at least

3. Let G be an n-vertex 3-regular graph with at most 5 cut-edges. Using Berge-Tutte Formula, prove that G has a matching with at least 0.5n1 edges. What about 6 cut-edges?

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