增强型超立方体的双泛连通性和哈密顿连通性

2010 International Conference on Computational Intelligence and Security Pub Date : 2010-12-11 DOI:10.1109/CIS.2010.105

L. Yingying, Liu Hong-mei

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引用次数: 2

摘要

增强型超立方体$Q_{n,k}$是超立方体的一个有吸引力的变体。本文证明了当$n$和$k$具有相同奇偶性时，$n$维增强超立方体是双连通的。我们还证明了当$n$和$k$具有不同的宇称时，$n$维增强超立方体是哈密顿连通的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The Bipanconnectivity and Hamiltonian-Connectivity of Enhanced Hypercube

Enhanced hypercube $Q_{n,k}$ is one of the attractive variant of hypercube. In this paper, we show that the $n$-dimensional enhanced hypercube is bipanconnected when $n$ and $k$ have the same parity. We also show that the $n$-dimensional enhanced hypercube is Hamiltonian-connected when $n$ and $k$ have the different parity.

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2010 International Conference on Computational Intelligence and Security

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