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Nov 16, 2022 at 2:56 vote accept Licheng Zhang
Nov 15, 2022 at 14:46 answer added Carlo Beenakker timeline score: 2
Nov 15, 2022 at 11:27 comment added Licheng Zhang Ok, thanks. I will try to contact the authors by emails. These reviews are also great. I also just found a review of Hamiltonian problems on surfaces "K. Ozeki, Hamiltonicity of Graphs on Surfaces in Terms of Toughness and Scattering Number–A Survey[C]//Japanese Conference on Discrete and Computational Geometry, Graphs, and Games. Springer, Cham, 2018: 74-95.". To my surprise, I haven't seen a systematic monograph so far. I don't know what the difficulty is compared to other topics like coloring.
Nov 15, 2022 at 10:56 comment added kabenyuk I have not seen such a monograph either. You can ask these authors if there is a monograph on Hamiltonian cycles. 1) Gould, R. Advances on the Hamiltonian Problem – A Survey. Graphs and Combinatorics 19, 7–52 (2003); 2) Rahman, M. S., & Kaykobad, M. (2005). On Hamiltonian cycles and Hamiltonian paths. Information Processing Letters, 94(1), 37–41. doi:10.1016/j.ipl.2004.12.002
Nov 15, 2022 at 8:53 history edited Licheng Zhang CC BY-SA 4.0
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Nov 15, 2022 at 8:11 history edited Licheng Zhang CC BY-SA 4.0
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Nov 15, 2022 at 8:04 history edited Licheng Zhang CC BY-SA 4.0
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Nov 15, 2022 at 7:59 history asked Licheng Zhang CC BY-SA 4.0