> It seems that "traceable graph" is more common (by googling), but then it 
> seems very natural to have is_eulerian/is_semi_eulerian and 
> is_hamiltonian/is_semi_hamiltonian. Opinions? 
>

We can do that, but first we have to agree on the definitions for both 
eulerian/hamiltonian path/cycle, etc. Then we can clean the situation and 
add required deprecation warning.
 

> > Furthermore, one can also find in some articles the notion of 
> "semi-hamiltonian graph": A graph is 
> > semi-hamiltonian if it contains a hamiltonian path but no hamiltonian 
> cycle. 
>
> Duh. And then there is the concept of hypohamiltonian. 
>

That one is different and more difficult to check. So we can keep it.

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