On Farey Graceful Labeling

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.

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Bibliographic Details
Published in:National Academy science letters 2024-06, Vol.47 (3), p.303-308
Main Authors: Kumar, Ajay, Mishra, Debdas, Srivastava, V. K.
Format: Article
Language:English
Subjects:
History of Science
Humanities and Social Sciences
multidisciplinary
Science
Science (multidisciplinary)
Short Communication
Citations: Items that this one cites
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Summary: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.
ISSN:0250-541X
2250-1754
DOI:10.1007/s40009-023-01355-3