Find all Hamiltonian regular graphs of order 8 and valency 3 up to isomorphism.
Sorry for this long answer..
u don't need to answer it,if it's too long, just give me some clues.
or pls give me some useful links, if you can, thanks
Find all Hamiltonian regular graphs of order 8 and valency 3 up to isomorphism.
He is the most direct and stupidest method.
(Graph theory is not my thing, hopefully one day).
Have you considered finding all graphs 3-regular (up to isomorphism) of order 8. And then trying to find which ones have hamiltonian cycles and which do not.