i would be interested. I had it in mind to focus on the recursive structure
of the Catalan objects( objects that can be counted via catalan numbers).
C_{n+1} = \sum_{i=0}^{n}C_{n-i}C_{i}
when defining a new catalan object we would just need to specify the
recursive structure. This way we might not have to deal with specific
bijections....but that was just my initial idea...i dont know :)
On Mon, Mar 26, 2012 at 9:54 AM, Christian Stump
<christian.st...@gmail.com>wrote:
> > Christian, this is far from standard. It's fairly discombobulated
> > scratch work. The objects aren't even classes.
>
> my last reply was too fast, sorry. Now as I look at the actual code, I
> see what you are doing... Nonetheless, I find it a nice idea to gather
> Catalan objects and their bijections, as people are apparently looking
> for that!
>
> What about implementing the objects as classes in the folder
> combinat/catalan (maybe with some identifications by "canonical
> bijections", like i = h = zzzz = r = hhh), and then making them
> available as
>
> CatalanObjects.YourCatalanObject
>
> like in
>
> Posets.BooleanLattice
>
> (to not pollute the global name space too much), and also provide
> bijections, maybe in
>
> CatalanObjects.Bijections.YourFavoriteBijection
>
> (these are, of course, not unique, so we must give them names to
> distinguish, like "reverse" and "upside-down" to get from
> \sigma-avoiding permutations to reverse(\sigma)-avoiding permutations
> for \sigma \in S_3.)
>
> Better or other ideas, suggestions?
>
> @vivace: are you interested in working/collaborating on that? was this
> somehow what you thought of?
>
> cheers, Christian
>
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