{"title":"字典上最少的德布鲁因循环","authors":"Harold Fredricksen","doi":"10.1016/S0021-9800(70)80050-3","DOIUrl":null,"url":null,"abstract":"<div><p>We investigate Ford's method for generating a de Bruijn cycle of degree <em>n</em>. We show that the feedback function which generates the cycle has the minimum possible number of positions equal to 1 and we give an algorithm which finds those positions for all <em>n</em>.</p></div>","PeriodicalId":100765,"journal":{"name":"Journal of Combinatorial Theory","volume":"9 1","pages":"Pages 1-5"},"PeriodicalIF":0.0000,"publicationDate":"1970-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S0021-9800(70)80050-3","citationCount":"30","resultStr":"{\"title\":\"The lexicographically least de Bruijn cycle\",\"authors\":\"Harold Fredricksen\",\"doi\":\"10.1016/S0021-9800(70)80050-3\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We investigate Ford's method for generating a de Bruijn cycle of degree <em>n</em>. We show that the feedback function which generates the cycle has the minimum possible number of positions equal to 1 and we give an algorithm which finds those positions for all <em>n</em>.</p></div>\",\"PeriodicalId\":100765,\"journal\":{\"name\":\"Journal of Combinatorial Theory\",\"volume\":\"9 1\",\"pages\":\"Pages 1-5\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1970-07-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/S0021-9800(70)80050-3\",\"citationCount\":\"30\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Combinatorial Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0021980070800503\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Combinatorial Theory","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0021980070800503","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We investigate Ford's method for generating a de Bruijn cycle of degree n. We show that the feedback function which generates the cycle has the minimum possible number of positions equal to 1 and we give an algorithm which finds those positions for all n.
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