In each part, either draw a graph with the given specifications or explain why no such graph exists. (a). A graph with 6 vertices that has at least two circuits, one is Euler circuit, but no...

In each part, either draw a graph with the given specifications or explain why no such graph exists:

Extracted text: In each part, either draw a graph with the given specifications or explain why no such graph exists. (a). A graph with 6 vertices that has at least two circuits, one is Euler circuit, but no Hamiltonian circuțts. (b). A connected graph with 4 vertices that has three Hamiltonian circuits but no Euler circuits.