On the extremal connective eccentricity index among trees with maximum degree

The connective eccentricity index (CEI) of a graph $G$ is defined as $\xi^{ce}(G)=\sum_{v \in V(G)}\frac{d_G(v)}{\varepsilon_G(v)}$, where $d_G(v)$ is the degree of $v$ and $\varepsilon_G(v)$ is the eccentricity of $v$. In this paper, we characterize the unique trees with the maximum and minimum CEI...

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Bibliographic Details
Main Author: Fazal Hayat
Format: Article
Language:English
Published: University of Isfahan 2021-12-01
Series:Transactions on Combinatorics
Subjects:
Online Access:https://toc.ui.ac.ir/article_25656_ce36f15a7dee2e1ace7fdfcaf03f97ae.pdf