The Aα-spectral Radius of Bicyclic Graphs with Given Degree Sequences

被引：1
|
作者：
Wen, Fei [1 ,2 ]
Yuan, Mengyue [1 ]
Wang, Wei [2 ]
机构：
[1] Lanzhou Jiaotong Univ, Inst Appl Math, Lanzhou 730070, Peoples R China
[2] Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Peoples R China
来源：
TAIWANESE JOURNAL OF MATHEMATICS | 2023年 / 27卷 / 02期
基金：
中国国家自然科学基金;
关键词：
A(alpha)-spectral radius; degree sequence; bicyclic graphs;
D O I：
10.11650/tjm/220906
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let A(G) and D(G) be the adjacency matrix and the degree matrix of G, respectively. For any real alpha is an element of [0, 1], Nikiforov defined the matrix A(alpha)(G) as A(alpha)(G) = alpha D(G) + (1 - alpha)A(G). In this paper, we generalize some previous results about the A(1/2)-spectral radius of bicyclic graphs with a given degree sequence. Furthermore, we characterize all extremal bicyclic graphs which have the largest A(alpha)-spectral radius in the set of all bicyclic graphs with prescribed degree sequences.
引用
收藏
页码：207 / 220
页数：14
相关论文
共 50 条
  • [31] On the Da-spectral radius of cacti and bicyclic graphs
    Li, Pengfei
    Yu, Aimei
    Hao, Rongxia
    DISCRETE MATHEMATICS, 2023, 346 (01)
  • [32] On ordering bicyclic graphs with respect to the Laplacian spectral radius
    Li, Shuchao
    Simic, Slobodan K.
    Tosic, Dejan V.
    Zhao, Qin
    APPLIED MATHEMATICS LETTERS, 2011, 24 (12) : 2186 - 2192
  • [33] Unbalanced Unicyclic and Bicyclic Graphs with Extremal Spectral Radius
    Francesco Belardo
    Maurizio Brunetti
    Adriana Ciampella
    Czechoslovak Mathematical Journal, 2021, 71 : 417 - 433
  • [34] On the arithmetic-geometric spectral radius of bicyclic graphs
    Yan Yuan
    Computational and Applied Mathematics, 2023, 42
  • [35] Maximizing the spectral radius of bicyclic graphs with fixed girth
    Zhai, Mingqing
    Wu, Yarong
    Shu, Jinlong
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2009, 431 (5-7) : 716 - 723
  • [36] On the Distance Signless Laplacian Spectral Radius of Bicyclic Graphs
    Nannan XU
    Aimei YU
    Journal of Mathematical Research with Applications, 2023, 43 (03) : 289 - 302
  • [37] On the arithmetic-geometric spectral radius of bicyclic graphs
    Yuan, Yan
    COMPUTATIONAL & APPLIED MATHEMATICS, 2023, 42 (07):
  • [38] ON THE MINIMAL DISTANCE SPECTRAL RADIUS IN THE CLASS OF BICYCLIC GRAPHS
    Nath, Milan
    Paul, Somnath
    DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS, 2014, 6 (01)
  • [39] UNBALANCED UNICYCLIC AND BICYCLIC GRAPHS WITH EXTREMAL SPECTRAL RADIUS
    Belardo, Francesco
    Brunetti, Maurizio
    Ciampella, Adriana
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 2021, 71 (02) : 417 - 433
  • [40] ON THE MAXIMAL DISTANCE SPECTRAL RADIUS IN A CLASS OF BICYCLIC GRAPHS
    Paul, Somnath
    DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS, 2012, 4 (04)
12345