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Embedding cycles of given length in oriented graphs

✍ Scribed by Daniela Kühn; Deryk Osthus; Diana Piguet


Book ID
119233275
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
246 KB
Volume
34
Category
Article
ISSN
0195-6698

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We embed cycles into IEH graphs. First, IEH graphs are proved to be Hamiltonian except when they are of size 2" -1 for all n > 2. Next, we show that for an IEH graph of size N, an arbitrary cycle of even length N, where 3 < Ne < N is found. We also find an arbitrary cycle of odd length NO where 2 <