THE SIGNLESS p-LAPLACIAN SPECTRAL RADIUS OF GRAPHS WITH GIVEN PARAMETER

被引：0

作者：

Chen, Zhouyang ^{[1
]}

Zhang, Peng-li ^{[2
]}

机构：

[1] Hunan Univ Finance & Econ, Sch Math & Stat, Changsha 410205, Peoples R China

[2] Shanghai Univ Int Business & Econ, Sch Stat & Data Sci, Shanghai 201620, Peoples R China

来源：

OPERATORS AND MATRICES | 2025年 / 19卷 / 02期

关键词：

Signless p-Laplacian; spectral radius; cut vertices; cut edges; diameter; A(ALPHA)-SPECTRAL RADIUS;

D O I：

10.7153/oam-2025-19-09

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper considers the spectral radius of signless p-Laplacian of a graph, which is a generalization of the quadratic form of the signless Laplacian matrix for p = 2 Let G(n,k), G(n)(k) and G(n)(d) be the set of connected graphs of order n with k cut vertices, k cut edges and fixed diameter d, respectively. The graphs maximizing the signless p-Laplacian spectral radius among G(n,k), G(n)(k) and G(n)(d) and are characterized.

引用

页码：143 / 157

页数：15

共 13 条

[1] Bounds for the largest p-Laplacian eigenvalue for graphs [J].

Amghibech, S. .

DISCRETE MATHEMATICS, 2006, 306 (21) :2762-2771

[2]

Bondy J. A., 1976, Graph theory with applications

[3]

Borba EM, 2018, ELECTRON J COMB, V25

[4] The Signless p-Laplacian Spectral Radius of Graphs with Given Degree Sequences [J].

Chen, Zhouyang ;

Feng, Lihua ;

Jin, Wei ;

Lu, Lu .

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2023, 46 (02)

[5] The signless p-Laplacian spectral radius of graphs with given matching number [J].

Chen, Zhouyang ;

Feng, Lihua ;

Liu, Weijun ;

Lu, Lu .

LINEAR & MULTILINEAR ALGEBRA, 2023, 71 (14) :2366-2374

[6] A note on the Aα-spectral radius of graphs [J].

Lin, Huiqiu ;

Huang, Xing ;

Xue, Jie .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2018, 557 :430-437

[7] On the spectral radius of graphs with cut edges [J].

Liu, HQ ;

Lu, M ;

Tian, F .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2004, 389 :139-145

[8] On the eigenvectors of p-Laplacian [J].

Luo, Dijun ;

Huang, Heng ;

Ding, Chris ;

Nie, Feiping .

MACHINE LEARNING, 2010, 81 (01) :37-51

[9]

STEVANOVIC D., 2015, Spectral Radius of Graphs

[10] The spectrum of the p-Laplacian and p-harmonic morphisms on graphs [J].

Takeuchi, H .

ILLINOIS JOURNAL OF MATHEMATICS, 2003, 47 (03) :939-955

← 1 2 →