๐’Œ๐’•๐’‰ FIBONACCI PRIME LABELING OF SNAKE GRAPHS

kth Fibonacci Prime Labeling is defined as labeling the vertices of a graph with distinct Fibonacci numbers starting since the kth Fibonacci term sustaining the condition that the ๐‘”๐‘๐‘‘(๐‘“(๐‘ข), ๐‘“(๐‘ฃ)) = 1, where ๐‘“(๐‘ข) and ๐‘“(๐‘ฃ) are labels of any adjacent vertices u and v. Graphs formed by consecutively...

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Bibliographic Details
Main Authors: Anna S. Varghese, Gerard Rozario Joseph, Lawrence Rozario Raj P.
Format: Article
Language:English
Published: Institute of Mechanics of Continua and Mathematical Sciences 2025-06-01
Series:Journal of Mechanics of Continua and Mathematical Sciences
Subjects:
Online Access:https://jmcms.s3.amazonaws.com/wp-content/uploads/2025/06/14190312/jmcms-2506050-Kth-Fibinacci-prime-labeling-of-snake-graphs-Gerard.pdf
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Summary:kth Fibonacci Prime Labeling is defined as labeling the vertices of a graph with distinct Fibonacci numbers starting since the kth Fibonacci term sustaining the condition that the ๐‘”๐‘๐‘‘(๐‘“(๐‘ข), ๐‘“(๐‘ฃ)) = 1, where ๐‘“(๐‘ข) and ๐‘“(๐‘ฃ) are labels of any adjacent vertices u and v. Graphs formed by consecutively connecting identical base graphs, linearly or in alternating pattern, is called Snake graph. In this paper, we show that some snake graphs admit kth Fibonacci prime labeling.
ISSN:0973-8975
2454-7190