Higher-order Randić index and isomorphism of double starlike trees

For an integer $ h\geq 0 $, the $ h $th order Randić index for a simple graph $ G $ is defined as $ R^{h}(G) = \sum_{\pi}\frac{1}{\sqrt{v_1(\pi)v_2(\pi)\cdots v_{h+1}(\pi)}} $, where $ \pi $ extends over all paths of length $ h $ in $ G $ and $ v_i(\pi) $ denotes the degree of the $ i $-th vertex of...

Full description

Bibliographic Details
Main Authors: Zhenhua Su, Zikai Tang, Hanyuan Deng
Format: Article
Language:English
Published: AIMS Press 2023-11-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.20231596?viewType=HTML