Question: Let n Z+, with n 9. Prove that if the edges of Kn can be partitioned into subgraphs isomorphic to cycles of length

Let n ∈ Z+, with n ≥ 9. Prove that if the edges of Kn can be partitioned into subgraphs isomorphic to cycles of length 4 (where any two such cycles share no common edge), then n = 8k + 1 for some k ∈ Z+.

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