Prime Cordial Labeling for Eight Sprocket Graph

  IJMTT-book-cover
 
International Journal of Mathematics Trends and Technology (IJMTT)
 
© 2021 by IJMTT Journal
Volume-67 Issue-12
Year of Publication : 2021
Authors : A.A. Sathakathulla, M.G Fajlul Kareem
  10.14445/22315373/IJMTT-V67I12P504

MLA

MLA Style: A.A. Sathakathulla, M.G Fajlul Kareem. "Prime Cordial Labeling for Eight Sprocket Graph" International Journal of Mathematics Trends and Technology 67.12 (2021):41-46. 

APA Style: A.A. Sathakathulla, M.G Fajlul Kareem(2021). Prime Cordial Labeling for Eight Sprocket Graph International Journal of Mathematics Trends and Technology, 67(12), 41-46.

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.

Reference

[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.

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