The extremal unicyclic graphs with given diameter and minimum edge revised Szeged index

Let $ H $ be a connected graph. The edge revised Szeged index of $ H $ is defined as $ Sz^{\ast}_{e}(H) = \sum\limits_{e = uv\in E_H}(m_{u}(e|H)+\frac{m_{0}(e|H)}{2})(m_{v}(e|H)+\frac{m_{0}(e|H)}{2}) $, where $ m_{u}(e|H) $ (resp., $ m_{v}(e|H) $) is the number of edges whose distance to vertex $ u...

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Bibliographic Details
Main Authors: Shengjie He, Qiaozhi Geng, Rong-Xia Hao
Format: Article
Language:English
Published: AIMS Press 2023-09-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.20231342?viewType=HTML