Timeline for Graphs with many edges avoided by Hamiltonian cycles
Current License: CC BY-SA 3.0
6 events
when toggle format | what | by | license | comment | |
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Dec 27, 2013 at 10:33 | vote | accept | Wolfgang | ||
Dec 27, 2013 at 10:04 | comment | added | joro | OK. Here is a drawing for k=3: s27.postimg.org/wwx38t3w3/graph_k_3.png | |
Dec 27, 2013 at 9:55 | comment | added | Wolfgang | Yes modulo n, but the way I've written it, you don't even need that. I don't have time right now to add a diagram for say k=2 or k=3, but you can easily draw one. For checking that the edges (i,i+1) for i=0,...,n-2 aren't a-edges, it suffices to note that there are 2 H-cycles (symmetric to each other w.r.t. the vertical axis) which alternate essentially between diagonals of the n-gon and edges of it. | |
Dec 27, 2013 at 8:59 | comment | added | joro | You mean the chords are modulo n? Verified with program for small $k$. | |
Dec 26, 2013 at 14:15 | history | edited | Wolfgang | CC BY-SA 3.0 |
corrected typos
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Dec 26, 2013 at 10:19 | history | answered | Wolfgang | CC BY-SA 3.0 |