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Topological properties and optimal routing algorithms for three dimensional hexagonal networks

机译:三维六边形网络的拓扑特性和最佳路由算法

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The paper presents a convenient addressing scheme on 2D hexagonal meshes. It helps to derive simple and optimal routing and one-to-all broadcasting algorithms. We also show the existence of a Hamiltonian cycle that yields a ring embedding. We define 3D hexagonal graph as a generalization of the triangular plane tessellation, and consider it as a multiprocessor interconnection network. Some of its topological properties are studied. These properties are better than the well known multidimensional square mesh. A simple and optimal routing algorithm is also presented.
机译:本文提出了一种方便的二维六角形网格寻址方案。它有助于推导简单和最佳的路由选择以及一对一广播算法。我们还显示了产生环嵌入的哈密顿环的存在。我们将3D六边形图定义为三角形平面细分的一般化,并将其视为多处理器互连网络。研究了其某些拓扑性质。这些性能优于众所周知的多维正方形网格。还提出了一种简单且最佳的路由算法。

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