Draw a simple graph G with 8 vertices that satisfy all of the conditions listed below:
each vertex has a degree of at least 3
the graph is not regular meaning not all vertices have same degree
the graph contains a hamiltonian and Eulerian circuit.
I have been sitting here drawing out graphs to match these criteria but I can't figure it out. I know that all the vertices have to have even degree for a Eulerian circuit to exist. any help/ Suggestions? I know there must be a method to this than just through trial and error by drawing.