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article · Proyecciones (Antofagasta) · 2023

Analytic odd mean labeling of union and identification of some graphs

P. Jeyanthi, R. Gomathi, Gee-Choon Lau, Wai Chee Shiu

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Abstract

A graph G is analytic odd mean if there exist an injective function f : V → {0, 1, 3, . . . , 2q − 1} with an induced edge labeling f∗ : E → Z such that for each edge uv with f(u) < f(v), is injective. Clearly the values of f∗ are odd. We say that f is an analytic odd mean labeling of G. In this paper, we show that the union and identification of some graphs admit analytic odd mean labeling by using the operation of joining of two graphs by an edge.

Cite this paper

APA 7

Jeyanthi, P., Gomathi, R., Lau, G.-C., & Shiu, W. C. (2023). Analytic odd mean labeling of union and identification of some graphs. Proyecciones (Antofagasta), 42(5), 1141–1155. https://doi.org/10.22199/issn.0717-6279-3505

MLA 9

Jeyanthi, P., et al. “Analytic odd mean labeling of union and identification of some graphs.” Proyecciones (Antofagasta), vol. 42, no. 5, 2023, pp. 1141–55, https://doi.org/10.22199/issn.0717-6279-3505.

Chicago

Jeyanthi, P., R. Gomathi, Gee-Choon Lau, and Wai Chee Shiu. 2023. “Analytic odd mean labeling of union and identification of some graphs.” Proyecciones (Antofagasta) 42 (5): 1141–55. https://doi.org/10.22199/issn.0717-6279-3505.

Harvard

Jeyanthi, P. et al. (2023) ‘Analytic odd mean labeling of union and identification of some graphs’, Proyecciones (Antofagasta), 42(5), pp. 1141–1155. Available at: https://doi.org/10.22199/issn.0717-6279-3505.

BibTeX
@article{jeyanthi2023analytic,
  title = {{Analytic odd mean labeling of union and identification of some graphs}},
  author = {Jeyanthi, P. and Gomathi, R. and Lau, Gee-Choon and Shiu, Wai Chee},
  journal = {Proyecciones (Antofagasta)},
  volume = {42},
  number = {5},
  pages = {1141--1155},
  year = {2023},
  doi = {10.22199/issn.0717-6279-3505}
}

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