For a graph G, the exponential reduced Sombor index (ERSI), denoted by eSored , is ∑uv∈E(G)e√(dG(v)-1)^2+(dG(u)-1)^2), where dG(v) is the degree of vertex v. The authors in [On the reduced Sombor index and its applications, MATCH Commun. Math. Comput. Chem. 86 (2021) 729–753] conjectured that for each molecular tree T of order n, eSored(T)≤(2/3) (n+1) e3 +(1/3) (n-5) e 3√2, where n≡2 (mod 3), eSored(T)≤(1/3) (2n+1) e3 +(1/3) (n-13) e3√2 + 3e√13 , where n≡1 (mod 3) and eSored(T)≤(2/3) ne3 +(1/3) (n-9) e3√2 + 2e√10 , where n≡0 (mod 3). Recently, Hamza and Ali [On a conjecture regarding the exponential reduced Sombor index of chemical trees. Discrete Math. Lett. 9 (2022) 107–110] proved the modified version of this conjecture. In this paper, we adopt another method to prove it.
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Ghalavand, A., & Tavakoli, M. (2022). Another Approach to a Conjecture about the Exponential Reduced Sombor Index of Molecular Trees. Iranian Journal of Mathematical Chemistry, 13(2), 99-108. doi: 10.22052/ijmc.2022.246488.1632
MLA
Ali Ghalavand; Mostafa Tavakoli. "Another Approach to a Conjecture about the Exponential Reduced Sombor Index of Molecular Trees", Iranian Journal of Mathematical Chemistry, 13, 2, 2022, 99-108. doi: 10.22052/ijmc.2022.246488.1632
HARVARD
Ghalavand, A., Tavakoli, M. (2022). 'Another Approach to a Conjecture about the Exponential Reduced Sombor Index of Molecular Trees', Iranian Journal of Mathematical Chemistry, 13(2), pp. 99-108. doi: 10.22052/ijmc.2022.246488.1632
VANCOUVER
Ghalavand, A., Tavakoli, M. Another Approach to a Conjecture about the Exponential Reduced Sombor Index of Molecular Trees. Iranian Journal of Mathematical Chemistry, 2022; 13(2): 99-108. doi: 10.22052/ijmc.2022.246488.1632
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