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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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
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Srivastava, V. K.
description 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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subjects History of Science
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multidisciplinary
Science
Science (multidisciplinary)
Short Communication
title On Farey Graceful Labeling
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