id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-4783	Aziz, Asmaa; Mohammed, Haitham N.; Ali, Ahmed M.	Schultz and Modified Schultz Polynomials of Edges Induce Chain and Ring for Hexagonal Graphs	2023	12	.pdf	application/pdf	3602	241	88	γ − ξ − 5)/4}| = (γ − ξ − 1)/2. (f) |{(ω4i, µ4i+ξ(η4i+ξ)) : 1 ≤ i ≤ (γ − ξ − 1)/4}| = (γ − ξ − 1)/2. (iii) If d(y, z) = 3, then |a3| = (11γ − 21)/4, we have eight subsets of it: (a) ∣∣{(ω0(γ−ξ), ωξ(γ)) }∣∣ = 2. (b) |{(ω4i, ω4i+ξ) : 1 ≤ i ≤ (γ − ξ − 4)/4}| = (γ − ξ − 4)/4. (c) |{(µ4i−2, µ4i−2+ξ(η4i−2+ξ)) : 1 ≤ i ≤ (γ − ξ)/4}| = (γ − ξ)/2. (d) |{(η4i−2, µ4i−2+ξ(η4i−2+ξ)) : 1 ≤ i ≤ (γ − ξ)/4}| = (γ − ξ)/2. (e) |{(µ4i+1, η4i+2) : 0 ≤ i ≤ γ − ξ − 5)/4}| = (γ − ξ − 1)/2.	cache/ejpam-4783.pdf	txt/ejpam-4783.txt