aspg-21-3556-1791472294 20261008151134 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2025 25 4 Tephilla Joice P. Research scholar, Department of Mathematics, Hindustan Institute of Technology & Science, Chennai-603 103, India A. Rajkumar Department of Mathematics, Hindustan Institute of Technology & Science, Chennai-603 103, India 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]. 2025 453 452 3556 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.250439 https://www.americaspg.com/journal/21/article/3556 https://www.americaspg.com/storage/41738598770.pdf