article · International Journal of Research and Innovation in Applied Science · 2025

Bitopological Harmonious Labeling of Some Star Related Graphs

M. Subbulakshmi, S B Chandrakala, G. Siva Prijith

Cited by 0Abstract and details only

Abstract

Bitopological harmonious labeling for a graph G=(V(G),E(G)) with n vertices, is an injective function f:V(G)→2^X, where X is any non – empty set such that |X|=m,m< n and {f(V(G))} forms a topology on X, that induces an injective function f^*: E(G) → 2^(X^* ), defined by f^* (uv) = f(u)∩f(v) for every uv∈E(G) such that {f^* (E(G))} forms a topology on X^* where X^*=X\{1,2,….,m}. A graph that admits bitopological harmonious labeling is called a bitopological harmonious graph. In this paper, we discuss bitopological harmonious labeling of some star related graphs.

Cite this paper

APA 7

Subbulakshmi, M., Chandrakala, S. B., & Prijith, G. S. (2025). Bitopological Harmonious Labeling of Some Star Related Graphs. International Journal of Research and Innovation in Applied Science, X(VI), 1909–1914. https://doi.org/10.51584/ijrias.2025.100600147

MLA 9

Subbulakshmi, M., et al. “Bitopological Harmonious Labeling of Some Star Related Graphs.” International Journal of Research and Innovation in Applied Science, vol. X, no. VI, 2025, pp. 1909–14, https://doi.org/10.51584/ijrias.2025.100600147.

Chicago

Subbulakshmi, M., S B Chandrakala, and G. Siva Prijith. 2025. “Bitopological Harmonious Labeling of Some Star Related Graphs.” International Journal of Research and Innovation in Applied Science X (VI): 1909–14. https://doi.org/10.51584/ijrias.2025.100600147.

Harvard

Subbulakshmi, M., Chandrakala, S.B. and Prijith, G.S. (2025) ‘Bitopological Harmonious Labeling of Some Star Related Graphs’, International Journal of Research and Innovation in Applied Science, X(VI), pp. 1909–1914. Available at: https://doi.org/10.51584/ijrias.2025.100600147.

BibTeX

@article{subbulakshmi2025bitopological,
  title = {{Bitopological Harmonious Labeling of Some Star Related Graphs}},
  author = {Subbulakshmi, M. and Chandrakala, S B and Prijith, G. Siva},
  journal = {International Journal of Research and Innovation in Applied Science},
  volume = {X},
  number = {VI},
  pages = {1909--1914},
  year = {2025},
  doi = {10.51584/ijrias.2025.100600147}
}

Made from the index record. Check names, capitalisation and page numbers against the paper. Need another style? AI for Research has over 10,000.