Towards developing the butterfly sequence

Maizon Mohd Darus, H. Ibrahim, S. Karim
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Abstract

The initial idea of Half Butterfly Method (HBM) has been introduced in 2015 to solve the geometric representation of distinct Hamiltonian circuit with different path in Kn. Based on this HBM, this paper will further explore the concept of Butterfly sequence. The sequence is constructed by fixing a vertex and creating direction between the other vertices. The total directions of n will give the value of nth Butterfly sequence. This paper will illustrate the construction of Butterfly sequence (Bs) for 1 ≤ s ≤ 5. In addition to that, characteristics of the Butterfly sequence will be formulated towards developing the sequence.
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朝着发展蝴蝶序列
半蝴蝶法(Half Butterfly Method, HBM)的最初思想是在2015年提出的,用于解决不同路径的不同哈密顿电路在Kn中的几何表示。在此基础上,本文将进一步探讨蝴蝶序列的概念。该序列是通过固定一个顶点并在其他顶点之间创建方向来构建的。n的总方向将给出第n个Butterfly序列的值。本文将说明1≤s≤5的Butterfly序列(b)的构造。在此基础上,形成蝴蝶序列的特征,进一步发展蝴蝶序列。
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