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Oct 27, 2018 at 7:20 comment added Gottfried Helms unfortunately, in the wikipedia-entry they do not show how (and how far) small cycles are excluded aside from that of the specific $k$-cycle structure. With the knowledge of some lower bound $a_0 \approx 2^{60}$ (hope I recall that number correctly) cycles of respectable lengthes but of general structure (not only of $k$-cycles form) can unconditionally be excluded.
Oct 20, 2018 at 17:12 history edited YCor CC BY-SA 4.0
was misleaded by the initial formulation "the existence of some cycles has been ruled out" may sound as "there's no cycle"
Oct 20, 2018 at 15:53 history edited Francesco Polizzi CC BY-SA 4.0
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Oct 20, 2018 at 14:42 history edited Francesco Polizzi CC BY-SA 4.0
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Oct 20, 2018 at 14:14 vote accept Dominic van der Zypen
Oct 20, 2018 at 14:12 history answered Francesco Polizzi CC BY-SA 4.0