{"title":"关于法瑞优雅标签","authors":"Ajay Kumar, Debdas Mishra, V. K. Srivastava","doi":"10.1007/s40009-023-01355-3","DOIUrl":null,"url":null,"abstract":"<div><p>Basically, this paper is motivated by Farey sequence. In this paper, we develop a new type of graph labeling based on Number Theoretic Sequence which we call <i>Farey graceful labeling</i>. We prove that all paths, caterpillars, cycles and hairy cycles admit a Farey graceful labeling.</p></div>","PeriodicalId":717,"journal":{"name":"National Academy Science Letters","volume":"47 3","pages":"303 - 308"},"PeriodicalIF":1.2000,"publicationDate":"2023-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On Farey Graceful Labeling\",\"authors\":\"Ajay Kumar, Debdas Mishra, V. K. Srivastava\",\"doi\":\"10.1007/s40009-023-01355-3\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>Basically, this paper is motivated by Farey sequence. In this paper, we develop a new type of graph labeling based on Number Theoretic Sequence which we call <i>Farey graceful labeling</i>. We prove that all paths, caterpillars, cycles and hairy cycles admit a Farey graceful labeling.</p></div>\",\"PeriodicalId\":717,\"journal\":{\"name\":\"National Academy Science Letters\",\"volume\":\"47 3\",\"pages\":\"303 - 308\"},\"PeriodicalIF\":1.2000,\"publicationDate\":\"2023-10-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"National Academy Science Letters\",\"FirstCategoryId\":\"4\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s40009-023-01355-3\",\"RegionNum\":4,\"RegionCategory\":\"综合性期刊\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MULTIDISCIPLINARY SCIENCES\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"National Academy Science Letters","FirstCategoryId":"4","ListUrlMain":"https://link.springer.com/article/10.1007/s40009-023-01355-3","RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MULTIDISCIPLINARY SCIENCES","Score":null,"Total":0}
Basically, this paper is motivated by Farey sequence. In this paper, we develop a new type of graph labeling based on Number Theoretic Sequence which we call Farey graceful labeling. We prove that all paths, caterpillars, cycles and hairy cycles admit a Farey graceful labeling.
期刊介绍:
The National Academy Science Letters is published by the National Academy of Sciences, India, since 1978. The publication of this unique journal was started with a view to give quick and wide publicity to the innovations in all fields of science