Timeline for Minimum distance between Hamiltonian cycles in cubic Hamiltonian graph
Current License: CC BY-SA 3.0
9 events
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Dec 1, 2013 at 12:58 | vote | accept | Mohammad Al-Turkistany | ||
Dec 1, 2013 at 12:12 | history | edited | Mohammad Al-Turkistany | CC BY-SA 3.0 |
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Nov 30, 2013 at 16:02 | history | edited | Mohammad Al-Turkistany | CC BY-SA 3.0 |
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Nov 30, 2013 at 8:56 | answer | added | nvcleemp | timeline score: 4 | |
Nov 30, 2013 at 8:00 | comment | added | nvcleemp | @hbm: this just proves the upper bound which was given by the OP, since the hamming distance is $N - |E(H_1)\cap E(H_2)|$. It is easy to construct an arbitrarily large cubic graph in which the smallest hamming distance between two hamiltonian cycles is 2. | |
Nov 29, 2013 at 13:58 | comment | added | nvcleemp | I would say that the lower bound is 2, but maybe you want it expressed in terms of some invariants? | |
Nov 29, 2013 at 12:26 | history | edited | Mohammad Al-Turkistany | CC BY-SA 3.0 |
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Nov 29, 2013 at 12:20 | history | edited | Mohammad Al-Turkistany | CC BY-SA 3.0 |
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Nov 29, 2013 at 12:15 | history | asked | Mohammad Al-Turkistany | CC BY-SA 3.0 |