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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 67 | Issue 12 | Year 2021 | Article Id. IJMTT-V67I12P504 | DOI : https://doi.org/10.14445/22315373/IJMTT-V67I12P504

Prime Cordial Labeling for Eight Sprocket Graph


A.A. Sathakathulla, M.G Fajlul Kareem
Abstract

This papers deals with prime cordial labeling of newly introduced eight sprocket graph. This graph is already proven as cordial, Edge cordial and gracious in graph labelling. In our study we have further proved that Eight Sprocket graph related families of connected are Prime cordial graphs. Also the path union of Eight Sprocket graph, cycle of Eight Sprocket graph and star of Eight Sprocket graph are holds well with prime-cordial.

Keywords
Prime cordial, Eight- sprocket graph, Path union of graphs, Cycle of graphs, Star of a graph.
References

[1] F. Harary, Graph theory, Narosa Publishing House, (2001).
[2] G. S. Bloom and S. W. Golomb, Application of numbered undirected graphs, IEEE, 65(1977), 562-570.
[3] I. Cahit, Cordial graphs: A weaker version of graceful and harmonious graphs, Ars Combin, 23(1987), 201-207.
[4] J. A. Gallian, A Dynamic survey of graph labeling, The Electronics Journal of Combinatorics, 22(2019).
[5] J. C. Kanani and V. J. Kaneria , Cordial Labeling for Eight Sprocket Graph, Int. J. Math. And Appl., 9(1)(2021), 67{72}
[6] J. C. Kanani and V. J. Kaneria, Graceful Labeling for Eight Sprocket Graph, Recent Advancements in Graph Theory, 2020 (1), CRC Press.
[7] S. K. Vaidya_ and N. H. Shah, Prime cordial labeling of some wheel related graphs, Malaya Journal of Matematik 4(1)(2013) 148–156
[8] S K Vaidya and P L Vihol Prime Cordial Labeling For Some Cycle Related Graphs, Int. J. Open Problems Compt. Math., 3(5) (2010)
[9] S. W. Golomb, How to number a graph, Graph Theory and Computing , (R. C. Read. Ed.) Academic Press, (1972), 23{37}.
[10] V. J. Kaneria, H. P. Chudasama and P. P. Andharia, Absolute mean graceful labeling in path union of various graphs, Mathematical Journal of Interdisciplinary Sciences, 7(2018) 51-56.

Citation :

A.A. Sathakathulla, M.G Fajlul Kareem, "Prime Cordial Labeling for Eight Sprocket Graph," International Journal of Mathematics Trends and Technology (IJMTT), vol. 67, no. 12, pp. 41-46, 2021. Crossref, https://doi.org/10.14445/22315373/IJMTT-V67I12P504

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