For my solution be careful that the nodes are labeled such that the left column of G contains only 0,1,2,...,n (i.e. the inner nodes are labeled sequentially and before the leaves) otherwise T must be constructed more carefully. The rest remains unchanged.
On Tue, Apr 24, 2012 at 9:38 PM, Thomas Costigliola <tcost...@gmail.com> wrote: > 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 >>> > >>> ---------------------------------------------------------------------- >>> 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