Volume 25 , Issue 4 , PP: 453-452, 2025 | Cite this article as | XML | Html | PDF | Full Length Article
Tephilla Joice P. 1 , A. Rajkumar 2 *
Doi: https://doi.org/10.54216/IJNS.250439
The Neutrosophic Cordial Labeling Graph integrates both neutrosophic labeling and Cordial Labeling. Building on our previous work, we have extended our study to include Neutrosophic Cordial Labeling for Helm and Closed Helm Graphs. This extension allows us to explore the application of Neutrosophic Cordial Labeling in more complex graph structures, providing insights into their properties and relationships. One of the key aspects of our research is investigating the relationship between Cordial and Neutrosophic Cordial Labeling. By comparing and contrasting these labeling techniques [4], we aim to uncover similarities, differences, and potential synergies between them. This analysis contributes to a deeper understanding of graph labeling methodologies and their implications in various graph-theoretic applications [18]. Our research contributes to the advancement of graph labeling theory, particularly in the context of Neutrosophic Cordial Labeling and its applications in Helm and Closed Helm Graphs. By exploring these concepts and relationships, we aim to enhance the theoretical foundation and practical utility of graph labeling techniques in diverse domains [16,17].
Neutrosophic , Labeling , Cordial Labeling , Graphs , Helm , Closed Helm
[1] A. Dsouza and Dr. K. S., "A survey on Magic Labeling of digraphs," IOSR Journal of Engineering (IOSR JEN), vol. 9, no. 10, pp. 39-42, 2019.
[2] A. Q. Ansari, R. Biswas, and S. Aggarwal, "Neutrosophication of Fuzzy Models," in IEEE Workshop On Computational Intelligence: Theories, Applications and Future Directions, IIT Kanpur, India, 2013.
[3] S. Broumi, M. Talea, A. Bakali, and F. Smarandache, "Single valued neutrosophic graphs," Journal of New Theory, vol. 10, pp. 86-101, 2016.
[4] M. Devi, K. A. Bibi, H. Rasmanlou, and Y. Tabeli, "New concepts in intuitionistic fuzzy labelling graphs," International Journal of Advanced Intelligence Paradigms, vol. 21, no. 3-4, pp. 267-286, 2002.
[5] F. A., R. P. Indah, and N. A. Sudibyo, "Magic covering and edge magic labelling and its application," Journal of Physics Conference Series, vol. 1574, no. 1, pp. 012014, 2020.
[6] J. A. Gallian, "A Dynamic Survey of Graph Labeling," Electronic Journal of Combinatorics, vol. 25, no. DS6, 2022.
[7] A. N. Gani, M. Akram, and D. R. Subhashini, "Novel Properties of Fuzzy Labelling Graphs," J. Math., vol. 48, pp. 375135, 2014.
[8] M. Gomathi and M. Keerthika, "Neutrosophic Labeling Graph," Neutrosophic Sets and Systems: An International Journal of Information Science and Engineering, vol. 20, pp. 261-272, 2019.
[9] L. Prasanna et al., "Applications of Graph labelling in major areas of computer science," International Journal of Research in Computer and Communication Technology, vol. 3, no. 8, pp. 819-823, Aug. 2014.
[10] R. A. Borzooei, H. Rashmanlou, S. Samanta, and M. Pal, "A study on fuzzy labeling graph," Journal of Intelligent and Fuzzy Systems, vol. 30, no. 6, pp. 3349-3355, 2016.
[11] A. Rosenfeld, Fuzzy Sets and Their Applications to Cognitive and Decision Processes, 1st ed. New York, NY, USA: Academic Press, 1974.
[12] A. Rosa, "On certain valuations of the vertices of a graph," in Proceedings of the International Symposium on Theory of Graphs, Rome, Italy, 1966, pp. 349-355.
[13] S. M. Lee, K. J. Chen, and Y. C. Wang, "On the edge-graceful spectra of cycles with the chord and dumbbell graphs," Congr. Numer., vol. 170, pp. 171-183, 2004.
[14] F. Smarandache, W. B. Vasantha Kandasamy, and Ilanthenral Kandasamy, Neutrosophic Graphs: A New Dimension to Graph Theory, 1st ed. Cambridge, MA, USA: Elsevier, 2015.
[15] R. Sridevi, K. Nagarajan, A. Nellaimurugan, and S. Navaneethakrishnan, "Fibonacci divisor Cordial graphs," International Journal of Mathematics and Soft Computing, vol. 3, no. 3, pp. 33-39, 2013.
[16] T. J. P. and S. P. V., "Fibonacci Divisor Cordial Labeling for Helm and Closed Helm," Bulletin of Pure and Applied Sciences, Section E - Mathematics & Statistics, vol. 38E, pp. 99-104, 2019.
[17] R. Varatharajan, S. Navaneethakrishnan, and K. Nagarajan, "Divisor cordial graph," International Journal of Mathematical Comb., vol. 4, pp. 15-25, 2011.
[18] L. A. Zadeh, "Fuzzy Sets," Information and Control, vol. 8, no. 3, pp. 338-353, 1965.
[19] Zimmermann, Fuzzy Set Theory and Its Applications, 4th ed. New York, NY, USA: Springer Science+Business Media, LLC, 2001.
