Especially your (:: ]) part is very eloquent and deserves a place in Bron's 
heaven of Jems (http://www.jsoftware.com/jwiki/DanBron).


My solution was 

   ((] (;@],(#~"1 #&>)) {.@] { a:,[)^:(1< #@~.@:{.@])^:_~  </.~/)G


Thanks for all solutions.


R.E. Boss


> -----Oorspronkelijk bericht-----
> Van: programming-boun...@jsoftware.com 
> [mailto:programming-boun...@jsoftware.com] Namens Thomas Costigliola
> Verzonden: woensdag 25 april 2012 3:38
> Aan: Programming forum
> Onderwerp: Re: [Jprogramming] all paths in a graph
> 
> G=. do;._2]0 :0
> 0 1 2 2 3 4 4 5 5 6 7  7  8  9 10 10 11 11 11 12 12 12
> 1 2 3 4 5 6 5 7 8 7 9 10 10 11 12 11 13 14 15 16 15 14
> )
> ]T=. </./G
> T (<@((] <@,"1 0 {:@]{::[) ::])S:_ 0^:_) <0
> 
> 
> Challenge: find a verb using the same strategy without using :: and is
> shorter (or not much longer).
> 
> 
> On Tue, Apr 24, 2012 at 5:01 PM, R.E. Boss <r.e.b...@planet.nl> wrote:
> > No.
> > _.
> >
> >
> > R.E. Boss
> >
> >
> >> -----Oorspronkelijk bericht-----
> >> Van: programming-boun...@jsoftware.com 
> >> [mailto:programming-boun...@jsoftware.com] Namens Henry Rich
> >> Verzonden: dinsdag 24 april 2012 22:21
> >> Aan: Programming forum
> >> Onderwerp: Re: [Jprogramming] all paths in a graph
> >>
> >> Can the graph contain a cycle?  If so, what should be done?
> >>
> >> Henry Rich
> >>
> >> On 4/24/2012 11:47 AM, R.E. Boss wrote:
> >> > I would like to know other solutions.
> >> > And perhaps learn why it took me so long.
> >> >
> >> >
> >> > R.E. Boss
> >> >
> >> >
> >> >> -----Oorspronkelijk bericht-----
> >> >> Van: programming-boun...@jsoftware.com 
> >> >> [mailto:programming-boun...@jsoftware.com] Namens Markus Schmidt-
> Gröttrup
> >> >> Verzonden: dinsdag 24 april 2012 12:59
> >> >> Aan: Programming forum
> >> >> Onderwerp: Re: [Jprogramming] all paths in a graph
> >> >>
> >> >> I have not investigated in finding an expression for all paths.
> >> >> What for? Efficient graph algorithms as Dijkstra shortest path
> >> >> algorithms avoid the flood of these possibilities.
> >> >>
> >> >> Could you  give an idea, what are you aiming at? (Beside staying young)
> >> >>
> >> >> Greetings,
> >> >>
> >> >> Markus
> >> >>
> >> >> Am 24.04.2012 12:39, schrieb R.E. Boss:
> >> >>> Given the directed graph G
> (see<http://www.jsoftware.com/jwiki/RE%20Boss>   
> http://www.jsoftware.com/jwiki/RE%20Boss)
> >> by
> >> >> its edges
> >> >>>
> >> >>>
> >> >>>
> >> >>>      |: G
> >> >>>
> >> >>> 0 1 2 2 3 4 4 5 5 6 7  7  8  9 10 10 11 11 11 12 12 12
> >> >>>
> >> >>> 1 2 3 4 5 6 5 7 8 7 9 10 10 11 12 11 13 14 15 16 15 14
> >> >>>
> >> >>>
> >> >>>
> >> >>> determine all (different) paths from root 0 to the leaves.
> >> >>>
> >> >>>
> >> >>>
> >> >>> This took me quite some time(days!). Am I getting old?
> >> >>>
> >> >>>
> >> >>>
> >> >>>
> >> >>>
> >> >>> R.E. Boss
> >> >>>
> >> >>>
> >> >>>
> >> >>> ----------------------------------------------------------------------
> >> >>> For information about J forums see http://www.jsoftware.com/forums.htm
> >> >>>
> >> >>>
> >> >>
> >> >> ----------------------------------------------------------------------
> >> >> For information about J forums see http://www.jsoftware.com/forums.htm
> >> >
> >> > ----------------------------------------------------------------------
> >> > For information about J forums see http://www.jsoftware.com/forums.htm
> >> >
> >> ----------------------------------------------------------------------
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> >
> > ----------------------------------------------------------------------
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> ----------------------------------------------------------------------
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