#12997: LyndonWords from composition beginning by 0's
-----------------------------------------------+----------------------------
       Reporter:  Adrien                       |         Owner:  sage-combinat
           Type:  defect                       |        Status:  new          
       Priority:  minor                        |     Milestone:  sage-5.1     
      Component:  combinatorics                |    Resolution:               
       Keywords:  lyndon words, sage-combinat  |   Work issues:               
Report Upstream:  N/A                          |     Reviewers:               
        Authors:                               |     Merged in:               
   Dependencies:                               |      Stopgaps:               
-----------------------------------------------+----------------------------
Description changed by Adrien:

Old description:

> LyndonWords, when applied to a composition starting with 0's, gives a
> wrong result, e.g.:
>
> for w in LyndonWords(list([0,1])):
>     print w
>
> return 1 instead of 2, and in a similar vein
>
> for w in LyndonWords(list([0,2])):
>     print w
>
> return '12'
>
> The problem is also described here : http://groups.google.com/group/sage-
> combinat-devel/browse_thread/thread/5c4b691a692b56b0#
>
> The problem is that necklace._sfc() ignores 0's at the begining of a
> list.
>
> A modified lyndon_word.py file which fix the problem is attached.

New description:

 {{{LyndonWords}}}, when applied to a composition starting with 0's, gives
 a wrong result, e.g.:
 {{{
 for w in LyndonWords(list([0,1])):
     print w
 }}}
 return 1 instead of 2, and in a similar vein
 {{{
 for w in LyndonWords(list([0,2])):
     print w
 }}}
 return '12'

 The problem is also described here : http://groups.google.com/group/sage-
 combinat-devel/browse_thread/thread/5c4b691a692b56b0#

 The problem is that necklace._sfc() ignores 0's at the begining of a list.

 A modified lyndon_word.py file which fix the problem is attached.

--

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12997#comment:1>
Sage <http://www.sagemath.org>
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