#10886: DisjointSet: number of sets function
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   Reporter:  rlm                      |       Owner:  jason     
       Type:  enhancement              |      Status:  needs_info
   Priority:  major                    |   Milestone:  sage-4.7  
  Component:  misc                     |    Keywords:            
     Author:  Robert Miller            |    Upstream:  N/A       
   Reviewer:  Alexandre Blondin Massé  |      Merged:            
Work_issues:                           |  
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Changes (by abmasse):

  * status:  needs_review => needs_info
  * reviewer:  => Alexandre Blondin Massé


Old description:



New description:

 The DisjointSet data structure in Sage lacks the function returning the
 number of current subsets contained in it. The goal of this ticket is to
 add this functionality.

--

Comment:

 Hi, Robert!

 I just took a look at your patch. Two remarks and a question:

   1. The function `number_of_sets` you added is only defined for the
 `DisjointSet_of_integers` class. You should add it as well to the
 `DisjointSet_of_hashables`.

   2. While you're at it, I suggest the name `number_of_subsets` instead of
 `number_of_sets`, since we talk about partitioning a set into disjoint
 subsets. It follows the terminology used in the first line of Wikipedia
 (http://en.wikipedia.org/wiki/Disjoint-set_data_structure).

   3.  My question is mainly addressed to Sébastien but maybe you know the
 answer. What is the reason for creating the class `DisjointSet_class`? It
 says that it is supposed to contain functions common to all disjoint set
 data structures, but it only contains two basic functions. Shouln't
 functions such as `cardinality`, `number_of_sets`, etc. be there too?

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10886#comment:4>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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