#1314: graphs: calculate tutte polynomial
-------------------------------------+-------------------------------------
       Reporter:  jason              |        Owner:  rlm
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-6.1
      Component:  graph theory       |   Resolution:
       Keywords:  tutte, graph       |    Merged in:
        Authors:  Mike Hansen,       |    Reviewers:  Jernej Azarija,
  Frédéric Chapoton, Jernej Azarija  |  Nathann Cohen
Report Upstream:  N/A                |  Work issues:
         Branch:  public/1314        |       Commit:
   Dependencies:                     |  63b04872bc064f46b2856b63e9fc2d4a4e1b2839
                                     |     Stopgaps:
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Comment (by tscrim):

 Okay, `@cached_function` doesn't work because we can't pass a key function
 to it... (aside: I think such a feature would be quite useful) Back to the
 custom `@_cache`.

 With my changes (including some other optimizations):
 {{{
 sage: P = graphs.PetersenGraph()
 sage: %timeit P.tutte_polynomial()
 1 loops, best of 3: 256 ms per loop
 }}}
 Before:
 {{{
 sage: P = graphs.PetersenGraph()
 sage: %timeit P.tutte_polynomial()
 1000 loops, best of 3: 1.08 ms per loop
 }}}

 Now I'm currently perplexed...currently the best involves extra if
 statements, creation of parents, and unused arguments being passed. So we
 might just want to merge `6ef434e` instead. Still testing stuff...

--
Ticket URL: <http://trac.sagemath.org/ticket/1314#comment:71>
Sage <http://www.sagemath.org>
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