is it necessary for a graph to have Hamiltonian path if it has a Hamiltonian circuit? If not then please provide an example. Thanks in advance!
2026-03-25 06:05:14.1774418714
is it necessary for a graph to have Hamiltonian path if it has a Hamiltonian circuit?
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Any Hamiltonian circuit can be converted to a Hamiltonian path by removing one of its edges. Therefore, if a graph admits a Hamiltonian circuit, it necessarily admits a Hamiltonian path.