Enumerating the Configurations in the n-Dimensional Orthogonal Polytopes Through Pólya's Countings and A Concise Representation
Perez-Aguila, R.
Inst. Univ. de Tecnologia y Humanidades, Puebla;
This paper appears in: Electrical and Electronics Engineering, 2006 3rd International Conference on
Publication Date: 6-8 Sept. 2006
On page(s): 1-4
Location: Veracruz,
ISBN: 1-4244-0402-9
INSPEC Accession Number: 9286639
Digital Object Identifier: 10.1109/ICEEE.2006.251849
Current Version Published: 2006-12-04
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
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