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I'm searching for papers dealing with the problem of finding not just the shortest tour in the graph (TSP) but finding N shortest tours. Somewhat surprisingly, I didn't find any mention of it, anywhere. I might be searching under a wrong name.

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  • $\begingroup$ Not sure what protocol is on stackexchange regarding unanswered questions, but I am still very interested in the answer! $\endgroup$
    – smartyfish
    Mar 16, 2013 at 10:07
  • $\begingroup$ Perhaps a related notion is the ASP-completeness (Another Solution Problem completeness) formalized by Takayuki Yato: for a given instance $x$ of and a solution $s$ to it, find a solution to $x$ other than $s$. In particular in its paper it is proved that Hamiltonian cycle problem on grid graphs with deg < 4 is ASP-complete, since TSP is a generalization, it should be ASP-complete, too. $\endgroup$ Mar 16, 2013 at 13:14

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