On Thursday, September 8, 2016 at 5:58:37 PM UTC, Peter Banks wrote:
>
>
>
> On Monday, September 5, 2016 at 3:30:53 PM UTC+1, Travis Scrimshaw wrote:
>
>>
>>>    - The class KontsevichGraph is a subclass of DiGraph; however, it 
>>>    would only ever be used in calculating the Star product of a Poisson 
>>>    bracket. Should it live in the new poisson module or in the graphs 
>>> module?
>>>
>>> Depends on how long the code is and what you plan to use it for. One 
>> safe way is to have its own file/module in src/sage/graphs.
>>
>
> The code is currently about 2000 lines including comments. I will leave it 
> in src/sage/graphs for now and move it later if needed.
>

a more proper location is  src/sage/graphs/generators/
this is where various explicit "small" graphs live, along with procedures 
to generate (infinite, or not) families.


>>>    - The list of graphs generated by KontsevichGraphList has no 
>>>    particularly natural ordering defined on it. It also uses a list of 
>>> regular 
>>>    graphs (which currently is loaded from an external file). Should both of 
>>>    these generators be added to the digraph_generators module?
>>>    
>>> I'm split. There is no way to parameterize these graphs, correct? This 
>> would be the first instance in which we have an iterator/list as output 
>> from digraphs.*. However, if they are interesting graphs, then we should 
>> expose them.
>>
>> Also, you should look into making it be an iterator instead of a list, 
>> unless you only need the full list
>>
>
> The graphs themselves are quite complex and I don't know of any way of 
> parameterising them. As I say, they are interesting but only for a very 
> small area.
>
> As for making them an iterator: I agree that this would be a nice way of 
> doing things. I have spent some time today thinking about it but I have yet 
> to come up with an effective way of doing this. At the moment we only 
> generate one graph per isomorphism class. These are generated by applying a 
> series of operations (such as moving an edge) to "simpler" graphs (either 
> 2-regular digraphs of Kontsevich graphs of lower degree). However, these 
> operations don't guarantee uniqueness up to isomorphism, so we then remove 
> any graphs which are isomorphic to ones that have already been generated. 
> This procedure doesn't seem to lend itself to producing an iterator as the 
> full list of graphs is needed to check isomorphism at the end.
>
> I would also recommend creating a trac ticket, pushing your code to the 
>>> trac server, and linking the branch on the ticket so we can take a look at 
>>> the code.
>>>
>>
> I will do this soon - there are a few problems with the code I want to get 
> fixed first, and then I will go about adding relevant tickets.
>
> Best,
> Peter
>

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