Decide if the following has a Hamiltonian path a Hamiltonian

Decide if the following has a Hamiltonian path, a Hamiltonian cycle, or neither. If a cycle or path exists, give an example. If not, give an argument as to why not.

Solution

Graph doen not have Hamiltonian cycle, because node f has degree 1. So it is not possible to make cycle with degree 1 node.

But it has hamiltonian path, that path is febadc.