Solution to 4. In Exercises i) and ii) determine whether the given graph has a Hamilton circuit. … - Sikademy
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Archangel Macsika

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

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