Re: [sage-devel] Re: Generation of posets...

2009-11-20 Thread Nicolas M. Thiery
On Thu, Nov 19, 2009 at 08:42:54PM -0600, Jason Grout wrote: > Tom Boothby wrote: > > On Thu, Nov 19, 2009 at 4:14 PM, Florent Hivert > > wrote: > >> Hi Jason, > >> > I'd like to generate all partially ordered sets of a given cardinality > upto > isomorphisms... They are in bi

[sage-devel] Re: Generation of posets...

2009-11-19 Thread Nathann Cohen
Perhaps you can cheaply make it faster by first testing if two different poset have the same generating series ( if I remember correctly it just amount to compare the numbers of minimal elements, the number of elements juste above, etc, etc, etc... Or you could just try for any serie to enumerate

[sage-devel] Re: Generation of posets...

2009-11-19 Thread Jason Grout
Tom Boothby wrote: > On Thu, Nov 19, 2009 at 4:14 PM, Florent Hivert > wrote: >> 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

Re: [sage-devel] Re: Generation of posets...

2009-11-19 Thread Tom Boothby
On Thu, Nov 19, 2009 at 4:14 PM, Florent Hivert wrote: >      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 ?

Re: [sage-devel] Re: Generation of posets...

2009-11-19 Thread Florent Hivert
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 t

[sage-devel] Re: Generation of posets...

2009-11-19 Thread Jason Grout
Florent Hivert wrote: > Hi, > > 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