The Radio Dd-Distance in Harmonic Mean
Number of Some New Graphs

K. John Bosco; B.S. Vishnupriya

doi:https://doi.org/10.14445/22315373/IJMTT-V67I2P517

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 67 | Issue 2 | Year 2021 | Article Id. IJMTT-V67I2P517 | DOI : https://doi.org/10.14445/22315373/IJMTT-V67I2P517

The Radio Dd-Distance in Harmonic Mean Number of Some New Graphs

K. John Bosco, B.S. Vishnupriya

Abstract

A radio Dd-distance in harmonic mean labelling of a connected graph 𝐺 is an injective map 𝑓 from the vertex set 𝑉(𝐺) to the ℕ such that for two distinct vertices 𝑢 and 𝑣 of 𝐺, 𝐷 𝐷𝑑(𝑢, 𝑣) + ⌈ 2𝑓(𝑢)𝑓(𝑣) 𝑓(𝑢)+𝑓(𝑣) ⌉ ≥ 𝑑𝑖𝑎𝑚𝐷𝑑(𝐺) + 1. where 𝐷 𝐷𝑑(𝑢, 𝑣) denote Dd-distance between 𝑢 and 𝑣 𝑑𝑖𝑎𝑚𝐷𝑑(𝐺) denotes the diameter of 𝐺. The radio Dd-distance in harmonic mean number of 𝑓, 𝑟ℎ 𝐷𝑑𝑛(𝑓) is the maximum label assigned to any vertex of 𝐺. The radio Dd-distance in harmonic mean number of 𝐺, 𝑟ℎ 𝐷𝑑𝑛(𝐺) is the minimum value of of 𝐺. In the paper we find the radio Dd-distance in harmonic mean number of some standard graphs.

Keywords

Dd-distance, Radio harmonic mean number, Radio Dd-distance in harmonic mean number.

References

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Citation :

K. John Bosco, B.S. Vishnupriya, "The Radio Dd-Distance in Harmonic Mean Number of Some New Graphs," International Journal of Mathematics Trends and Technology (IJMTT), vol. 67, no. 2, pp. 121-123, 2021. Crossref, https://doi.org/10.14445/22315373/IJMTT-V67I2P517