Hello,

As Sage is open-source you can usually answer such questions by reading the 
code, or the function's documentation.

In this specific case, however, I do not know if we actually have this 
feature in Sage: do you *know* how to enumerate meet-semilattices in Sage? 
If so please share the commands, and we will probably find in the doc a 
description of the algorithm it implements.

Nathann

On Wednesday, March 11, 2015 at 11:44:07 AM UTC+1, Ercan Altınışık wrote:
>
>
> Dear all,
>
> I am studying the divisibility problem of meet and join matrices which 
> deals with the structure of finite meet semi-lattices. I know that Sage 
> generates a list of Hasse diagrams meet semi-lattices with n-elements. I 
> wonder how to construct meet semi-lattices with n elements.
>
> I have Stanley's texts (EC1 and EC2) and also the following paper of 
> Heitzig and Reinhold. 
>
> http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.24.2420&rep=rep1&type=pdf
>
> Is the method used in Sage to obtain meet semi-lattices based on checking 
> all possible meets in the posets with n elements? 
> Or are there any other method to construct them? Especially a recursive 
> method? 
>
> best regards,
>
> Ercan Altinisik
>

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