The comparison of two Zagreb-Fermat eccentricity indices

In this paper, we focus on comparing the first and second Zagreb-Fermat eccentricity indices of graphs. We show that [Formula: see text] holds for all acyclic and unicyclic graphs. Besides, we verify that the inequality may not be applied to graphs with at least two cycles.

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Publication Details

Journal
Discrete Mathematics Algorithms and Applications
Published
2025-06-27
DOI
https://doi.org/10.1142/s179383092550106x
Primary Topic
Advanced Mathematical Theories and Applications
Type
article
Field-Weighted Citation Impact
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article

The comparison of two Zagreb-Fermat eccentricity indices

Longyu Li, G. Li, Cheng Zeng, Xiangrui Pan
Discrete Mathematics Algorithms and Applications
Advanced Mathematical Theories and Applications
article

The comparison of two Zagreb-Fermat eccentricity indices

Longyu Li, G. Li, Cheng Zeng, Xiangrui Pan
article en

Abstract

In this paper, we focus on comparing the first and second Zagreb-Fermat eccentricity indices of graphs. We show that [Formula: see text] holds for all acyclic and unicyclic graphs. Besides, we verify that the inequality may not be applied to graphs with at least two cycles.

Discrete Mathematics Algorithms and Applications
Shandong Institute of Business and Technology (CN)
Openalex Percentile: Top 88%
Advanced Mathematical Theories and Applications
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The comparison of two Zagreb-Fermat eccentricity indices — Longyu Li, G. Li, et al. · Discrete Mathematics Algorithms and Applications (2025) | TGRS Research Map | TGRS