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### Obtaining a certain list of posets via SAGE

I want to apply a function to a list of posets with certain properties. Im new to sage so question 1 might be trivial.

Question 1: I want the set of all finite posets with a top and buttom (this should imply that the poset is connected) that are not lattices. [format_poset(P) for P in posets(n) if P.has_bottom() and P.has_top()]

I somehow have to add p.is_lattice()=false but I do not know how to do it in sage and I was not able to search it via google what to do.

Question 2: I want now the set of all finite poset with a top and buttom that are not lattices and do not have a subposet isomorphic to the diamond poset or the pentagon poset. I asked a similar question as question 2 before but now it is not so much about time and it is ok if it works only for posets with 8 or 9 points,

### Obtaining a certain list of posets via SAGE

I want to apply a function to a list of posets with certain properties. Im new to sage so question 1 might be trivial.

Question 1: I want the set of all finite posets with a top and buttom (this should imply that the poset is connected) that are not lattices. [format_poset(P) for P in posets(n) if P.has_bottom() and P.has_top()]

I somehow have to add p.is_lattice()=false but I do not know how to do it in sage and I was not able to search it via google what to do.

Question 2: : I want now the set of all finite poset with a top and buttom that are not lattices and do not have a subposet isomorphic to the diamond poset or the pentagon poset. I asked a similar question as question 2 before but now it is not so much about time and it is ok if it works only for posets with 8 or 9 points,

### Obtaining a certain list of posets via SAGE

I want to apply a function to a list of posets with certain properties. Im new to sage so question 1 might be trivial.properties.

Question : I want now the set of all finite poset with a top and buttom that are not lattices and do not have a subposet isomorphic to the diamond poset or the pentagon poset. I asked a similar question as question 2 before but now it is not so much about time and it is ok if it works only for posets with 8 or 9 points,

### Obtaining a certain list of posets via SAGE

I want to apply a function to a list of posets with certain properties.

Question : I want now the set of all finite poset with a top and buttom that are not lattices and do not have a subposet isomorphic to the diamond poset or the pentagon poset. I asked a similar question as question 2 before but now it is not so much about time and it is ok if it works only for posets with 8 or 9 points,points. In general, it would also be interesting to check for a given connected poset whether it has a diamond or pentagon lattice as a subposet.

### Obtaining a certain list of posets via SAGE

I want to apply a function to a list of posets with certain properties.

Question : I want now the set of all finite poset with a top and buttom that are not lattices and do not have a subposet isomorphic to the diamond poset or the pentagon poset. I asked a similar question as question 2 before but now it is not so much about time and it is ok if it works only for posets with 8 or 9 points. In general, it would also be interesting to check for a given connected poset whether it has a diamond or pentagon lattice as a subposet.subposet. Is there an easy way to do this with SAGE?

### Obtaining a certain list of posets via SAGE

I want to apply a function to a list of posets with certain properties.

Question : I want now the set of all finite poset with a top and buttom that are not lattices and do not have a subposet isomorphic to the diamond poset or the pentagon poset. poset. The part without the diamong and pentagon condition should be easy to obtain as follows:

[format_poset(P) for P in posets(n) if P.has_bottom() and P.has_top() and not P.is_lattice()] But I do not know how to tell SAGE the pentagon and diamond condition.

I asked a similar question as question 2 before but now it is not so much about time and it is ok if it works only for posets with 8 or 9 points. In general, it would also be interesting to check for a given connected poset whether it has a diamond or pentagon lattice as a subposet. Is there an easy way to do this with SAGE?

### Obtaining a certain list of posets via SAGE

I want to apply a function to a list of posets with certain properties.

Question : I want now the set of all finite poset with a top and buttom that are not lattices and do not have a subposet isomorphic to the diamond poset or the pentagon poset. The part without the diamong and pentagon condition should be easy to obtain as follows:

[format_poset(P) for P in posets(n) if P.has_bottom() and P.has_top() and not P.is_lattice()] But I do not know how to tell SAGE the pentagon and diamond condition.

I asked a similar question as question 2 before but now it is not so much about time and it is ok if it works only for posets with 8 or 9 points. In general, it would also be interesting to check for a given connected poset whether it has a diamond or pentagon lattice as a subposet. Is there an easy way to do this with SAGE?

### Obtaining a certain list of posets via SAGE

I want to apply a function to a list of posets with certain properties.

Question : I want the set of all finite poset with a top and buttom that are not lattices and do not have a subposet isomorphic to the diamond poset or the pentagon poset. The part without the diamong and pentagon condition should be easy to obtain as follows:

[format_poset(P) for P in posets(n) if P.has_bottom() and P.has_top() and not P.is_lattice()] But I do not know how to tell SAGE the pentagon and diamond condition.

I asked a similar question as question 2 this before but now it is not so much about time and it is ok if it works only for posets with 8 or 9 points. In general, it would also be interesting to check for a given connected poset whether it has a diamond or pentagon lattice as a subposet. Is there an easy way to do this with SAGE?

### Obtaining a certain list of posets via SAGE

I want to apply a function to a list of posets with certain properties.

Question : I want the set of all finite poset with a top and buttom that are not lattices and do not have a subposet isomorphic to the diamond poset or the pentagon poset. poset (here pictures of the two lattices: http://i.stack.imgur.com/zC30M.png ). The part without the diamong and pentagon condition should be easy to obtain as follows:

[format_poset(P) for P in posets(n) if P.has_bottom() and P.has_top() and not P.is_lattice()] But I do not know how to tell SAGE the pentagon and diamond condition.

I asked a similar question as this before but now it is not so much about time and it is ok if it works only for posets with 8 or 9 points. In general, it would also be interesting to check for a given connected poset whether it has a diamond or pentagon lattice as a subposet. Is there an easy way to do this with SAGE?

### Obtaining a certain list of posets via SAGE

I want to apply a function to a list of posets with certain properties.

Question : I want the set of all finite poset with a top and buttom that are not lattices and do not have a subposet isomorphic to the diamond poset or the pentagon poset (here pictures of the two lattices: http://i.stack.imgur.com/zC30M.png ). The part without the diamong and pentagon condition should be easy to obtain as follows:

[format_poset(P) for P in posets(n) if P.has_bottom() and P.has_top() and not P.is_lattice()] But I do not know how to tell SAGE the pentagon and diamond condition.

I asked a similar question as this before but now it is not so much about time and it is ok if it works only for posets with at most 8 or 9 points. In general, it would also be interesting to check for a given connected poset whether it has a diamond or pentagon lattice as a subposet. Is there an easy way to do this with SAGE?