2重完全图的循环近哈密顿循环分解

THE 4TH INNOVATION AND ANALYTICS CONFERENCE & EXHIBITION (IACE 2019) Pub Date : 1900-01-01 DOI:10.1063/1.5121042

Raja'i Aldiabat, H. Ibrahim, S. Karim

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摘要

本文给出了2Kv的循环近哈密顿循环分解的存在性，对于每一个奇数v > 3。此外，给出了构造这种循环近哈密顿循环分解的基循环的图形表示。然后，详细讨论了v = 9和v = 15情况下这种构造的一些例子。

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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 the cases v = 9 and v = 15 are discussed in detail.

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THE 4TH INNOVATION AND ANALYTICS CONFERENCE & EXHIBITION (IACE 2019)

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