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Sep 5, 2010 at 19:14 comment added katsarola Thank you for the comment. There are 3-connected triangulations which are also hamiltonian, so by checking 4-connectivity I might miss possible solutions. Also I would like to avoid to triangulate under the 4-connectivity constraint for the same reason.
Sep 4, 2010 at 23:07 comment added Joseph O'Rourke This is a tangential remark: Tutte proved that every 4-connected planar graph has a Hamiltonian circuit. So if you could ensure 4-connectivity, you would have that guarantee.
Sep 4, 2010 at 17:51 history edited katsarola CC BY-SA 2.5
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Sep 4, 2010 at 14:11 history asked katsarola CC BY-SA 2.5