#16475: Bug in Gomory-Hu tree algorithm
-------------------------------------+-------------------------------------
       Reporter:  foosterhof         |        Owner:
           Type:  defect             |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-6.3
      Component:  graph theory       |   Resolution:
       Keywords:  gomory hu tree     |    Merged in:
  gomory-hu gomory_hu_tree           |    Reviewers:
        Authors:                     |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:                     |  e4604fa9ba9cf8ef5475620ed6b3d156402015d6
  u/foosterhof/ticket/16475          |     Stopgaps:
   Dependencies:  #12797             |
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Comment (by ncohen):

 Hello !

 > I am trying to convert to use your suggestion, using frozenset, but the
 call g1.vertices() (and thus also g2.vertices()) complains that it cannot
 compare a (frozen)set to an int, as it will sort them.

 HMmmmmmmmm `O_o`

 I do not understand what you mean. Could you give me an example of code
 that produces it ? It looks that you cannot use "&" on a frozenset, but it
 has an "intersection" method

 {{{
 sage: range(5) & frozenset(range(8))
 ...
 TypeError: unsupported operand type(s) for &: 'list' and 'frozenset'
 sage: frozenset(range(8)).intersection(range(5))
 frozenset({0, 1, 2, 3, 4})
 }}}

  I have been trying to give it a nice key lambda function to circumvent
 this problem, but no luck so far. Any suggestions? Or does this mean that
 I can better just leave it as using Set?

 > I have added a comment, including a reference to a piece of a book by A.
 Schrijver, which explains the use of the partitions. (A Gomory-Hu tree can
 be defined for a specific subset R of V, in which case these partitions
 play a big role)

 Thanks ! `:-)`

 Nathann

--
Ticket URL: <http://trac.sagemath.org/ticket/16475#comment:9>
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