International Journal of Mathematics Trends and Technology
Volume 67 | Issue 2 | Year 2021 | Article Id. IJMTT-V67I2P516 | DOI : https://doi.org/10.14445/22315373/IJMTT-V67I2P516
A Radio Heronian Mean D-distance Labeling 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 D(𝑢, 𝑣) + ⌈ 𝑓(𝑢)+√𝑓(𝑢)𝑓(𝑣)+𝑓(𝑣) 3 ⌉ ≥ 1 + 𝑑𝑖𝑎𝑚D (𝐺) where 𝑑 D (𝑢, 𝑣) denotes the D-distance between 𝑢 and 𝑣 and 𝑑𝑖𝑎𝑚D (𝐺) denotes the D-diameter of G. The radio heronian D-distance number of 𝑓, 𝑟ℎ𝑚𝑛D (𝑓) is the maximum label assigned to any vertex of 𝐺. The radio heronian D-distance number of G, 𝑟ℎ𝑚𝑛D (𝐺) is the minimum value of 𝑟ℎ𝑚 𝑛 D (𝑓) taken over all radio heronian D-distance labeling 𝑓 of 𝐺.
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K. John Bosco, M. Dinesh, "On Radio Heronian D-distance Mean Number of Degree Splitting Graphs," International Journal of Mathematics Trends and Technology (IJMTT), vol. 67, no. 2, pp. 114-120, 2021. Crossref, https://doi.org/10.14445/22315373/IJMTT-V67I2P516
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