ON THE Aα SPECTRAL RADIUS AND Aα ENERGY OF NON–STRONGLY CONNECTED DIGRAPHS

Xiuwen Yang; Ligong Wang; Weige Xi

doi:10.7153/oam-2024-18-19

ON THE A_α SPECTRAL RADIUS AND A_α ENERGY OF NON–STRONGLY CONNECTED DIGRAPHS

Xiuwen Yang, Ligong Wang, Weige Xi

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

Abstract

Let A_α (G) be the A_α-matrix of a digraph G and l_α1,l_α2,…,l_αn be the eigenvalues of A_α(G). Let ρ_α(G) be the A_α spectral radius of G and (Formula Presented) be the A_α energy of G by using second spectral moment. Let G_n^m be the set of non-strongly connected digraphs with n vertices containing a unique strong component with m vertices and some directed trees hanging on each vertex of the strong component. In this paper, we characterize the digraph which has the maximal A_α spectral radius and the maximal (or minimal) A_α energy in G_n^m.

Original language	English
Pages (from-to)	319-333
Number of pages	15
Journal	Operators and Matrices
Volume	18
Issue number	2
DOIs	https://doi.org/10.7153/oam-2024-18-19
State	Published - 2024

Keywords

A energy
A spectral radius
non-strongly connected digraphs

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10.7153/oam-2024-18-19

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abstract = "Let Aα (G) be the Aα-matrix of a digraph G and lα1,lα2,…,lαn be the eigenvalues of Aα(G). Let ρα(G) be the Aα spectral radius of G and (Formula Presented) be the Aα energy of G by using second spectral moment. Let Gnm be the set of non-strongly connected digraphs with n vertices containing a unique strong component with m vertices and some directed trees hanging on each vertex of the strong component. In this paper, we characterize the digraph which has the maximal Aα spectral radius and the maximal (or minimal) Aα energy in Gnm.",

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author = "Xiuwen Yang and Ligong Wang and Weige Xi",

year = "2024",

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AU - Yang, Xiuwen

AU - Wang, Ligong

AU - Xi, Weige

PY - 2024

Y1 - 2024

N2 - Let Aα (G) be the Aα-matrix of a digraph G and lα1,lα2,…,lαn be the eigenvalues of Aα(G). Let ρα(G) be the Aα spectral radius of G and (Formula Presented) be the Aα energy of G by using second spectral moment. Let Gnm be the set of non-strongly connected digraphs with n vertices containing a unique strong component with m vertices and some directed trees hanging on each vertex of the strong component. In this paper, we characterize the digraph which has the maximal Aα spectral radius and the maximal (or minimal) Aα energy in Gnm.

AB - Let Aα (G) be the Aα-matrix of a digraph G and lα1,lα2,…,lαn be the eigenvalues of Aα(G). Let ρα(G) be the Aα spectral radius of G and (Formula Presented) be the Aα energy of G by using second spectral moment. Let Gnm be the set of non-strongly connected digraphs with n vertices containing a unique strong component with m vertices and some directed trees hanging on each vertex of the strong component. In this paper, we characterize the digraph which has the maximal Aα spectral radius and the maximal (or minimal) Aα energy in Gnm.

KW - A energy

KW - A spectral radius

KW - non-strongly connected digraphs

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DO - 10.7153/oam-2024-18-19

M3 - 文章

AN - SCOPUS:85199793923

SN - 1846-3886

VL - 18

SP - 319

EP - 333

JO - Operators and Matrices

JF - Operators and Matrices

IS - 2

ER -

ON THE A_α SPECTRAL RADIUS AND A_α ENERGY OF NON–STRONGLY CONNECTED DIGRAPHS

Abstract

Keywords

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