The first two maximum Sombor spectral radii of bicyclic graphs

The Sombor matrix S(G) of a graph G was introduced by Gutman in 2021, in which the (i, j)-entry is equal to $sqrt(deg^(2)(u_(i))+deg^(2)(u_(j)))$ if the vertices ui and uj are adjacent in G, and zero otherwise, where deg(ui) denotes the degree of vertex ui in G. In this paper, we obtain the extremal graphs with the first two maximum Sombor spectral radii in bicyclic graphs.

Publication Details

Journal
Springer Link (Chiba Institute of Technology)
Published
2025-12-08
DOI
https://doi.org/10.1051/ro/2025075/pdf
Primary Topic
Graph theory and applications
Type
article
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article

The first two maximum Sombor spectral radii of bicyclic graphs

Springer Link (Chiba Institute of Technology)
Graph theory and applications
article

The first two maximum Sombor spectral radii of bicyclic graphs

article en

Abstract

The Sombor matrix S(G) of a graph G was introduced by Gutman in 2021, in which the (i, j)-entry is equal to $sqrt(deg^(2)(u_(i))+deg^(2)(u_(j)))$ if the vertices ui and uj are adjacent in G, and zero otherwise, where deg(ui) denotes the degree of vertex ui in G. In this paper, we obtain the extremal graphs with the first two maximum Sombor spectral radii in bicyclic graphs.

Springer Link (Chiba Institute of Technology)
Openalex Percentile: Top 50%
Graph theory and applications
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The first two maximum Sombor spectral radii of bicyclic graphs · Springer Link (Chiba Institute of Technology) (2025) | TGRS Research Map | TGRS