Question: 3. (30p) a) Determine whether the given graph has an Euler circuit. Construct such a circuit when one exists. If no Euler circuit exists, determine

3. (30p) a) Determine whether the given graph has an Euler circuit. Construct such a circuit when one exists. If no Euler circuit exists, determine whether the graph has an Euler path and construct such a path if one exists. b) Determine whether the given graph has an Hamilton circuit. Construct such a circuit when one exists. If no Hamilton circuit, write the reason. 3. (30p) a) Determine whether the given graph has an Euler circuit. Construct such a circuit when one exists. If no Euler circuit exists, determine whether the graph has an Euler path and construct such a path if one exists. b) Determine whether the given graph has an Hamilton circuit. Construct such a circuit when one exists. If no Hamilton circuit, write the reason

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