id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
cana-509	T. Christy	An Application on Harmonic Mean Labeling of Variations in Triangular Snake Graphs	2024	11	.pdf	application/pdf	3022	232	83	Consider the 𝑇𝑆𝑛 ∘ 𝐾1 graph with Vertex set 𝑉 = {𝑎𝑖, 𝑏𝑖, 𝑐𝑖, 𝑑𝑖; 1 ≤ 𝑖 ≤ 𝑛} and Edge set 𝐸 = {(𝑎𝑖𝑏𝑖) ∪ (𝑐𝑖𝑏𝑖) ∪ (𝑐𝑖𝑐𝑖+1) ∪ (𝑐𝑖𝑑𝑖); 1 ≤ 𝑖 ≤ 𝑛} Now let us define a function 𝜌: 𝑣 → {1,2,3, ⋯ 𝑞 + 1} Let us label the vertices as follows. Consider the 𝐷𝑇𝑆𝑛 ∘ 𝐾1 graph with Vertex set 𝑉 = {𝑎𝑖, 𝑏𝑖, 𝑐𝑖, 𝑑𝑖 , 𝑎𝑖 ′, 𝑏𝑖 ′; 1 ≤ 𝑖 ≤ 𝑛} and Edge set 𝐸 = {(𝑎𝑖𝑏𝑖) ∪ (𝑑𝑖𝑏𝑖) ∪ (𝑐𝑖𝑑𝑖) ∪ (𝑑𝑖𝑑𝑖+1) ∪ (𝑏𝑖 ′𝑑𝑖 ′),∪ (𝑎𝑖 ′𝑏𝑖 ′); 1 ≤ 𝑖 ≤ 𝑛}.	cache/cana-509.pdf	txt/cana-509.txt