Draw a graph which has an Euler circuit but is not planar. Formalize the graph in the form Draw a graph which does not have an Euler path and is also...

Draw a graph which has an Euler circuit but is not planar. Formalize the graph in the form 

Draw a graph which does not have an Euler path and is also not planar. Formalize the graph in the form 

Note: If you cannot draw the graph due to technical reasons, it is OK to just use formal notation and describe the graph textually.