A Note on the Q-Spectral Radius and Aα-Spectral Radius of Graphs with Fixed Connectivity

In this paper, we characterize the graphs with a second maximum signless Laplacian spectral radius among all graphs with a fixed order and fixed vertex or edge connectivity. We also discuss the maximum and second maximum Aα-spectral radius of graphs subject to fixed connectivity.

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Publication Details

Journal
Mathematics
Published
2026-08-27
DOI
https://doi.org/10.3390/math14173077
Primary Topic
Graph theory and applications
Type
article
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article

A Note on the Q-Spectral Radius and Aα-Spectral Radius of Graphs with Fixed Connectivity

Rong Zhang
Mathematics
Graph theory and applications
article

A Note on the Q-Spectral Radius and Aα-Spectral Radius of Graphs with Fixed Connectivity

Rong Zhang
article en

Abstract

In this paper, we characterize the graphs with a second maximum signless Laplacian spectral radius among all graphs with a fixed order and fixed vertex or edge connectivity. We also discuss the maximum and second maximum Aα-spectral radius of graphs subject to fixed connectivity.

MathematicsVol. 14(17)
Yancheng Teachers University (CN)
Openalex Percentile: Top 5%
Graph theory and applications
DOIOpen Access PDFOpenAlex
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A Note on the Q-Spectral Radius and Aα-Spectral Radius of Graphs with Fixed Connectivity — Rong Zhang · Mathematics (2026) | TGRS Research Map | TGRS