Can it be verified that if the conditions in the Ore's theorem are satisfied, then for any $1\leq k <n/2$ we have $d_k>k$?
(the sequence of degrees is non-decreasing, i.e., $d_1\leq d_2\leq ...\leq d_n$.)
2026-05-16 09:32:22.1778923942
Ore's theorem, sequence of degrees
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