Let n Z+, with n 9. Prove that if the edges of Kn can be

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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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Discrete and Combinatorial Mathematics An Applied Introduction

ISBN: 978-0201726343

5th edition

Authors: Ralph P. Grimaldi

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Question Posted: Jun 21, 2016 08:46 AM

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Let n Z+, with n 9. Prove that if the edges of Kn can be

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The number of edges in K n is If the edges of K n can be partitioned into such cycles of length 4 t...View the full answer

Discrete and Combinatorial Mathematics An Applied Introduction

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