Thread: Hamiltonian regular graphs

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

Originally Posted by neosonic

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.