Cyclic near-Hamiltonian cycle decomposition of 2-fold complete graph

In this paper, we formulate the existence of cyclic near-Hamiltonian cycle decomposition of 2Kv, for each odd v > 3. Moreover, a graphical representation for constructing a base cycle for such cyclic near-Hamiltonian cycle decomposition is presented. Then, some examples of this construction for t...

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Bibliographic Details
Main Authors: Aldiabat, Raja’i, Ibrahim, Haslinda, Karim, Sharmila
Format: Article
Published: AIP Publishing LLC 2019
Subjects:
Description
Summary:In this paper, we formulate the existence of cyclic near-Hamiltonian cycle decomposition of 2Kv, for each odd v > 3. Moreover, a graphical representation for constructing a base cycle for such cyclic near-Hamiltonian cycle decomposition is presented. Then, some examples of this construction for the cases v = 9 and v = 15 are discussed in detail.