{"title":"Enumerating the Configurations in the n-Dimensional Orthogonal Polytopes Through Pólya's Countings and A Concise Representation","authors":"R. Pérez-Aguila","doi":"10.1109/ICEEE.2006.251849","DOIUrl":null,"url":null,"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","PeriodicalId":125310,"journal":{"name":"2006 3rd International Conference on Electrical and Electronics Engineering","volume":"34 39","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2006-12-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2006 3rd International Conference on Electrical and Electronics Engineering","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICEEE.2006.251849","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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