Bounds for the Schultz Molecular Topological Index of Benzenoid Systems in Terms of the Wiener Index

Let MTI and W be the Schultz molecular topological index and the Wiener index, respectively, of a benzenoid system. It has been shown previously [Klavžar, S.; Gutman, I. J . Chem . Inf . Comput . Sci . 1996, 36, 1001−1003] that MTI is bounded as 4 W < MTI < 6.93 W . We now improve this result by deducing the estimates 4 W + λ 1 W 2/3 + λ 2 W 1/3 − 15 < MTI < 6 W + λ 3 W 2/5 − λ 4 W 1/6 where λ 1 = 4.400, λ 2 = 1.049, λ 3 = 14.760, and λ 4 = 17.739.