πππ 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 πππ(π(π’), π(π£)) = 1, where π(π’) and π(π£) are labels of any adjacent vertices u and v. Graphs formed by consecutively...
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Institute of Mechanics of Continua and Mathematical Sciences
2025-06-01
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| Series: | Journal of Mechanics of Continua and Mathematical Sciences |
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| 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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| author | Anna S. Varghese Gerard Rozario Joseph Lawrence Rozario Raj P. |
| author_facet | Anna S. Varghese Gerard Rozario Joseph Lawrence Rozario Raj P. |
| author_sort | Anna S. Varghese |
| collection | DOAJ |
| description | 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 πππ(π(π’), π(π£)) = 1, where π(π’) and π(π£) 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. |
| format | Article |
| id | doaj-art-5a8df365683e4d569ad7b6415671031d |
| institution | Matheson Library |
| issn | 0973-8975 2454-7190 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | Institute of Mechanics of Continua and Mathematical Sciences |
| record_format | Article |
| series | Journal of Mechanics of Continua and Mathematical Sciences |
| spelling | doaj-art-5a8df365683e4d569ad7b6415671031d2025-07-17T16:06:34ZengInstitute of Mechanics of Continua and Mathematical SciencesJournal of Mechanics of Continua and Mathematical Sciences0973-89752454-71902025-06-0120611210.26782/jmcms.2025.06.00001πππ FIBONACCI PRIME LABELING OF SNAKE GRAPHSAnna S. Varghese0Gerard Rozario Joseph1Lawrence Rozario Raj P.2Department of Mathematics, St Josephβs University, Bengaluru, 560027, India.Department of Mathematics, St Josephβs University, Bengaluru, 560027 India.PG and Research Department of Mathematics, St. Josephβs College (Autonomous), Tiruchirappalli, 620002, India.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 πππ(π(π’), π(π£)) = 1, where π(π’) and π(π£) 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.https://jmcms.s3.amazonaws.com/wp-content/uploads/2025/06/14190312/jmcms-2506050-Kth-Fibinacci-prime-labeling-of-snake-graphs-Gerard.pdffibonacci prime graphπ€ ππ‘ fibonacci prime graphk-prime graphsnake graphs |
| spellingShingle | Anna S. Varghese Gerard Rozario Joseph Lawrence Rozario Raj P. πππ FIBONACCI PRIME LABELING OF SNAKE GRAPHS Journal of Mechanics of Continua and Mathematical Sciences fibonacci prime graph π€ ππ‘ fibonacci prime graph k-prime graph snake graphs |
| title | πππ FIBONACCI PRIME LABELING OF SNAKE GRAPHS |
| title_full | πππ FIBONACCI PRIME LABELING OF SNAKE GRAPHS |
| title_fullStr | πππ FIBONACCI PRIME LABELING OF SNAKE GRAPHS |
| title_full_unstemmed | πππ FIBONACCI PRIME LABELING OF SNAKE GRAPHS |
| title_short | πππ FIBONACCI PRIME LABELING OF SNAKE GRAPHS |
| title_sort | πππ fibonacci prime labeling of snake graphs |
| topic | fibonacci prime graph π€ ππ‘ fibonacci prime graph k-prime graph snake graphs |
| url | https://jmcms.s3.amazonaws.com/wp-content/uploads/2025/06/14190312/jmcms-2506050-Kth-Fibinacci-prime-labeling-of-snake-graphs-Gerard.pdf |
| work_keys_str_mv | AT annasvarghese kthfibonacciprimelabelingofsnakegraphs AT gerardrozariojoseph kthfibonacciprimelabelingofsnakegraphs AT lawrencerozariorajp kthfibonacciprimelabelingofsnakegraphs |