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6. Determine if graph 3 has a Hamilton circuit, a Hamilton path but not a Hamilton circuit, or neither. If the graph has a circuit

6. Determine if graph 3 has a Hamilton circuit, a Hamilton path but not a Hamilton circuit, or neither. If the graph has a circuit or path, list the vertices in the circuit or path. If a circuit or path does not exist, give a brief explanation why it doesn't exist Graph 3

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