Graph Theory Hamiltonian Question
This should be a really easy question I think.... my brain is just not working properly, and I'm circling around. I'm looking to draw a 10 vertice, 2-connected graph G, with max valency four, where G^2 is hamiltonian. .... And it seems as though no matter what I use, it should work... because I read that any 2-connected graph's square is hamiltonian, but it's just not working for me. I've been using
as my graph, but every time I square it, I get two disjoint graphs... which can't be hamiltonian... please help!