#18549: Posets: 50x faster is_incomparable_chain_free
-------------------------------------+-------------------------------------
       Reporter:  jmantysalo         |        Owner:
           Type:  enhancement        |       Status:  positive_review
       Priority:  major              |    Milestone:  sage-6.8
      Component:  combinatorics      |   Resolution:
       Keywords:                     |    Merged in:
        Authors:  Jori Mäntysalo     |    Reviewers:  Nathann Cohen
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  u/jmantysalo/posets__50x_faster_is_incomparable_chain_free|  
58197838580d42c439c5c56369e3e89b597d4e5e
   Dependencies:                     |     Stopgaps:
-------------------------------------+-------------------------------------
Description changed by ncohen:

Old description:

> After `P6=Posets(6)` it takes more than 50 seconds to run
>
> {{{
> len([P for P in P6 if P.is_incomparable_chain_free(2,2)])
> }}}
>
> but
>
> {{{
> A=Posets.ChainPoset(2).disjoint_union(Posets.ChainPoset(2))
> len([P for P in P6 if not P.has_isomorphic_subposet(A)])
> }}}
>
> takes less than one second.

New description:

 When dot2tex is installed, `P6=Posets(6)` takes more than 50 seconds to
 run

 {{{
 len([P for P in P6 if P.is_incomparable_chain_free(2,2)])
 }}}

 but

 {{{
 A=Posets.ChainPoset(2).disjoint_union(Posets.ChainPoset(2))
 len([P for P in P6 if not P.has_isomorphic_subposet(A)])
 }}}

 takes less than one second.

--

--
Ticket URL: <http://trac.sagemath.org/ticket/18549#comment:9>
Sage <http://www.sagemath.org>
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