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


Aldiabat, Raja’i and Ibrahim, Haslinda and Karim, Sharmila (2019) Cyclic near-Hamiltonian cycle decomposition of 2-fold complete graph. AIP Conference Proceedings, 2138. 030005. ISSN 0094-243X

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Abstract

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.

Item Type: Article
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Divisions: School of Quantitative Sciences
Depositing User: Mrs. Norazmilah Yaakub
Date Deposited: 18 Mar 2020 04:26
Last Modified: 18 Mar 2020 04:26
URI: http://repo.uum.edu.my/id/eprint/26921

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