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On the Randić Index of Acyclic Conjugated Molecules

✍ Scribed by Mei Lu; Lian-zhu Zhang; Feng Tian

Publisher: Springer
Year: 2005
Tongue: English
Weight: 104 KB
Volume: 38
Category: Article
ISSN: 0259-9791
DOI: 10.1007/s10910-005-6892-4

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## Abstract The generalized Randić; index ${R}\_{-\alpha}(T)$ of a tree __T__ is the sum over the edges ${u}{v}$ of __T__ of $(d(u)d(v))^{-\alpha}$ where ${d}(x)$ is the degree of the vertex __x__ in __T__. For all $\alpha > 0$, we find the minimal constant $\beta\_{0}=\beta\_{0}(\alpha)$ such that