#15550: Implement the Kirchhoff-Symanzik polynomial for graphs
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       Reporter:  chapoton           |        Owner:
           Type:  enhancement        |       Status:  needs_review
       Priority:  minor              |    Milestone:  sage-6.1
      Component:  graph theory       |   Resolution:
       Keywords:  symanzik           |    Merged in:
  polynomial                         |    Reviewers:
        Authors:  Frédéric Chapoton  |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:  u/chapoton/15550   |  a3005a99f42302b4ae670d642cb719030f02a74d
   Dependencies:                     |     Stopgaps:
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Changes (by chapoton):

 * status:  needs_work => needs_review


Old description:

> This is a polynomial in several variables, useful in the study of Feynman
> diagrams.
>
> Done using a determinant (matrix-tree theorem)
>
> I had to use an auxiliary function.

New description:

 This is a polynomial in several variables, useful in the study of Feynman
 diagrams.

 Done using a determinant (like in the matrix-tree theorem)

 Also implements cycle_basis for graphs with multiple edges

 and add an 'output' parameter to 'cycle_basis', 'is_tree' and 'is_forest'

--

Comment:

 Rewriting history again, here is a working version.

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Ticket URL: <http://trac.sagemath.org/ticket/15550#comment:30>
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