Enumerating the Configurations in the n-Dimensional Orthogonal Polytopes Through Pólya's Countings and A Concise Representation

R. Pérez-Aguila
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引用次数: 4

Abstract

This article will describe Polya's countings as a methodology for determining the number of configurations to be present in the nD orthogonal pseudo-polytopes. Banks et al have used this methodology for counting configurations, in 1D to 4D spaces, under the context of the dual problem. We will describe a concise and simple representation for the configurations that provides the elements to reach the 5D and 6D cases and therefore to obtain their corresponding countings
通过Pólya的计数和简洁的表示枚举n维正交多面体的构型
本文将描述Polya计数作为确定nD正交伪多面体中存在的构型数量的方法。Banks等人在对偶问题的背景下,使用这种方法在1D到4D空间中计算构型。我们将描述一个简洁的配置表示,该配置提供了达到5D和6D情况的元素,从而获得相应的计数
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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