Unicyclic graphs with extremal exponential Randić index

Recently the exponential Randić index $ {{\rm e}^{\chi}} $ was introduced. The exponential Randić index of a graph $ G $ is defined as the sum of the weights $ {{\rm e}^{{\frac {1}{\sqrt {d \left(u \right) d \left(v \right) }}}}} $ of all edges $ uv $ of $ G $, where $ d(u) $ denotes the degree of a...

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Bibliographic Details
Main Authors: Qian Lin, Yan Zhu
Format: Article
Language:English
Published: AIMS Press 2021-06-01
Series:Mathematical Modelling and Control
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/mmc.2021015?viewType=HTML