(Solution) - Show that a sequence d1 d2 -(2025 Original AI-Free Solution)

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Academic Level: Undergrad. (yrs 3-4)

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Show that a sequence d1, d2, . . . , dn of nonnegative integers in non increasing order is a graphic sequence if and only if the sequence obtained by reordering the terms of the sequence d2 ? 1, . . . , dd1+1 ? 1, dd1+2, . . . , dn so that the terms are in non increasing order is a graphic sequence.