Hi Jason,

> > I'd like to generate all partially ordered sets of a given cardinality upto
> > isomorphisms... They are in bijection with aclyclic, transitively reduced
> > directed graphs. Does anyone have an idea how to do that ? I can't manage to
> > get this with nauty.
> 
> 
> I'm sure there's a smarter way, but you could generate acyclic directed 
> graphs and then transitively reduce them.

Yep ! That's a solution... I'll need then nauty again to remove isomorphic
duplicates. I'll probably go far enough for my problem with this methods since
the algorithm I want to put behind seems to be vastly exponential in the size
of the poset. I hope this will not break my conjecture...

By the way, just to know, can this be achieved in plain sage without nauty ?

Thanks for your suggestion,

Cheers,

Florent

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