• P-ISSN 0974-6846 E-ISSN 0974-5645

Indian Journal of Science and Technology


Indian Journal of Science and Technology

Year: 2024, Volume: 17, Issue: 16, Pages: 1647-1653

Original Article

Radio Contra Harmonic Mean Number of Graphs

Received Date:24 February 2024, Accepted Date:26 March 2024, Published Date:15 April 2024


Objectives: To explore the least upper bound of graphs by radio contra harmonic labeling. Methods: Contra harmonic mean function or , radio mean labeling condition and radio harmonic mean labeling are used. Findings: Here we introduce radio contra harmonic mean labeling and its least upper bound, designated as radio contra harmonic mean number, by formulating the constraints. Novelty: Based on radio mean labeling and contra harmonic mean labeling, the new concept of radio contra harmonic mean labeling was established. The bounds of some special graphs are encountered here. This kind of labeling is employed in secure communication networks and is also applicable in X-rays, crystallography, coding theory, computing etc.

Keywords: Radio contra harmonic mean labeling, rchmn (G), Order, Diameter, Smallest span


  1. Gallian JA. A dynamic survey of graph labeling (DS6). (pp. 1-644) 2023.
  2. Sridevi R, Yakavi AL. A Contra Harmonic Mean Labeling of Derived Graphs. Journal of Emerging Technologies and Innovative Research (JETIR). 2019;6(4):1–9. Available from: https://www.jetir.org/papers/JETIR1904411.pdf
  3. Palani K, Subi SSS, Maheswari V. Radio mean labeling of path union of graphs. Advances and Application in Mathematical Sciences. 2022;21(4):2199–2209. Available from: https://www.mililink.com/upload/article/1442171107aams_vol_214_february_2022_a51_p2199-2209_k._palani,_s._s._sabarina_subi_and_v._maheswari.pdf
  4. Revathy R, Amuthavalli K. Radio harmonic mean labeling of some star related graphs. In: 1st International Conference on Mathematical Techniques and Applications, AIP Conference Proceedings. (Vol. 2277, Issue 1, pp. 1-7) AIP Publishing. 2020.
  5. Bosco KJ, Vishnupriya BS. The Radio Dd-Distance in Harmonic Mean Number of Some New Graphs. International Journal of Mathematics Trends and Technology. 2021;67(2):121–123. Available from: https://dx.doi.org/10.14445/22315373/ijmtt-v67i2p517


© 2024 Ashika & Asha. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. Published By Indian Society for Education and Environment (iSee)


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