I'm studying graph theory and while looking at Hamilton curcuit examples, one thing struck me.
I don't know where |r6 - r'6| >= 2 came from... i get where this is going until that specific part. What am I missing?
Thanks in advance!
2026-03-26 12:52:15.1774529535
Hamilton circuit theorem explanation
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The point is that $r_6$ and $r'_6$ have a sum equal to $6$, therefore they are either both even or both odd, and therefore their absolute difference, if not zero, has to be at least $2$.