Volume 65 | Issue 4 | Year 2019 | Article Id. IJMTT-V65I4P512 | DOI : https://doi.org/10.14445/22315373/IJMTT-V65I4P512
V.Govindan, S.Dhivya, "Difference Labelling of Jewel Graph," International Journal of Mathematics Trends and Technology (IJMTT), vol. 65, no. 4, pp. 64-68, 2019. Crossref, https://doi.org/10.14445/22315373/IJMTT-V65I4P512
Let G be a (V,E) graph. G is said to be Square, Cube and Quad difference labeling if there exist a bijection ๐:๐ฝ ๐ฎ โ {๐, ๐, โฆ , ๐} such that the induced function ๐โ:๐ฌ(๐ฎ) โ ๐ต given by๐โ ๐ข๐ฃ = ๐(๐ข)2 โ ๐(๐ฃ)2, ๐โ ๐ข๐ฃ = ๐(๐ข)3 โ ๐(๐ฃ)3 & ๐โ ๐ข๐ฃ=๐(๐ข)4โ๐(๐ฃ)4, ๐ข๐ฃ โ ๐ธ(๐บ) respectively are all distinct. In this paper, we investigate that the quad difference labeling and prove that the Jewel graph ๐ฝ๐ admits a square difference, cube difference and quad difference labeling.
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