{"title":"On 2-skeleta of hypercubes","authors":"P. C. Kainen","doi":"10.26493/2590-9770.1302.f4e","DOIUrl":null,"url":null,"abstract":"It is shown that the 2-skeleton of the odd-d-dimensional hypercube can be decomposed into sd spheres and τd tori, where sd = (d − 1)2d − 4 and τd is asymptotically in the range (64/9)2d − 7 to (d − 1)(d − 3)2d − 7.","PeriodicalId":236892,"journal":{"name":"Art Discret. Appl. Math.","volume":"23 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-08-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Art Discret. Appl. Math.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.26493/2590-9770.1302.f4e","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
It is shown that the 2-skeleton of the odd-d-dimensional hypercube can be decomposed into sd spheres and τd tori, where sd = (d − 1)2d − 4 and τd is asymptotically in the range (64/9)2d − 7 to (d − 1)(d − 3)2d − 7.
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