Odd Harmonious Labeling of Subdivided Shell Graphs

Authors

  • Jeyanthi P Research Centre, Dept. of Mathematics, Govindammal Aditanar College for Women, Tiruchendur.628 215, Tamilnadu, India
  • Philo S Research Scholar, Reg.No:12193, Research Centre, Govindammal Aditanar College for Women, Tiruchendur, Affiliated to Manonmaniam Sundaranar University, Abishekappatti, Tirunelveli -627012, Tamilnadu, India

Keywords:

disjoint union of graph, harmonious labeling, subdivided shell grap, odd harmonious labeling

Abstract

A graph G(p, q) is said to be odd harmonious if there exists an injection f: V(G) → {0, 1, 2, …, 2q-1} such that the induced function f*:E(G)→{1,3,...,2q−1} defined by f * (uv) = f(u) + f(v) is a bijection. In this paper we prove that the subdivided shell graph, disjoint union of two subdivided shell graph, subdivided shell flower graph and subdivided uniform shell bow graph are odd harmonious.

References

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[8] Jeyanthi P., Philo S., “Odd Harmonious Labeling of Some Cycle Related Graphs”, Proyecciones Journal of Mathematics, Vol.35, No.1, (2016)85-98.

[9] Jeyanthi P., Philo S, “Odd harmonious Labeling of Plus Graphs”, Bulletin of the International Mathematical Virtual Institute,Vol.7(2017),515-526.

[10] Jeyanthi P., Philo S., Siddiqui M.K., “Odd Harmonious Labeling of Super Subdivision Graphs”, Proyecciones Journal of Mathematics, Vol.38 No.1(2019), to appear.

[11]Jeyanthi P., Philo S., Maged Z Youssef., “Odd harmonious Labeling of Grid Graphs”, Proyecciones Journal of Mathematics, to appear.

[12]Jeyanthi P., Philo S., “Odd Harmonious Labeling of Some New Graphs”, Southeast Asian Bulletin of Mathematics, to appear.

[13]Jeyanthi P., Philo S., “Odd Harmonious Labeling of Step Ladder Graphs”, Utilitas Mathematica, to appear.

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Published

2025-11-25

How to Cite

[1]
P. Jeyanthi and S. Philo, “Odd Harmonious Labeling of Subdivided Shell Graphs”, Int. J. Comp. Sci. Eng., vol. 7, no. 5, pp. 77–80, Nov. 2025.

Issue

Vol. 7 No. 5 (2019): IJCSE Special Issue Mar Edition

Section

Research Article

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