#18539: faster matroid 3 connectivity
-------------------------------------+-------------------------------------
       Reporter:  chaoxu             |        Owner:  chaoxu
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-6.8
      Component:  matroid theory     |   Resolution:
       Keywords:                     |    Merged in:
        Authors:                     |    Reviewers:
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  u/chaoxu/faster_matroid_3_connectivity|  
eca042a03f89753c1254d982e0dd663ec7d1b686
   Dependencies:                     |     Stopgaps:
-------------------------------------+-------------------------------------

Comment (by Rudi):

 Hi Chao,

 I don't think I should be reviewing your code since Stefan is your mentor
 on the gsoc project, but I can help a little.

 So I tested your code to see if it would detect a separation if it exist,
 using the following:
 {{{
 def binary_matroid_with_2_separation(r,n):
     A=MatrixSpace(GF(2),r,n).random_element()
     s = ZZ.random_element(2,r-3)
     m = ZZ.random_element(2,n-2)
     for i in range(s+1, r):
         for j in range(m):
             A[i,j] =0
     for i in range(s):
         for j in range(m, n):
             A[i,j] =0
     return Matroid(A)
 }}}
 and
 {{{
 for i in range(10000):
     r=ZZ.random_element(6,20)
     n=ZZ.random_element(r+6, 5*r)
     M = binary_matroid_with_2_separation(20,50)
     if M.is_3connected():
         print M
         break
 }}}
 Your code seems to withstand such testing all the time.

 Cheers,
 Rudi

--
Ticket URL: <http://trac.sagemath.org/ticket/18539#comment:30>
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