4. In Exercises i) and ii) determine whether the given graph has a Hamilton circuit. If it does, find such a circuit. If it does not, give an argument to show why no such circuit exists. i) ii)
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Consider the graph below
There does not exist any Hamilton circuit.
The degree sequence of the graph is {4,4,3,4,4,3}
Since the graph has 2 vertices of odd degree, hence by Hamilton theorem it does not have a Hamilton circuit