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MathGroup Archive 2010

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Hamiltonian cycles on directed graphs

  • To: mathgroup at smc.vnet.net
  • Subject: [mg110136] Hamiltonian cycles on directed graphs
  • From: "King, Peter R" <peter.king at imperial.ac.uk>
  • Date: Thu, 3 Jun 2010 05:40:27 -0400 (EDT)

My understanding is that, currently, the Hamiltonian cycles function does not work properly on directed graphs. Is there a way round this? For example I have the directed graph

z = {a(r)b,a(r)d,b(r)c, b->i,c (r)a,c (r)k,d(r)e,d(r)g,e(r)f,e(r)c,f(r)d,f(r)l,g(r)h,g(r)a,h(r)i,h(r)f,i(r)g,i(r)j,j(r)l,j(r)b,k(r)j,k(r)e,l(r)k,l(r)h};

for which I would like the Hamiltonian cycles (can I specify which vertex I start from - although this is unimportant in this example).

One small point, I can plot this in 2D and get arrows to show the directionality but in 3D I am struggling.

Thanks


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