Bounds for Incidence Energy of Some Graphs

被引：1
|
作者：
Wang, Weizhong [1 ,2 ]
Yang, Dong [2 ]
机构：
[1] Lanzhou Jiaotong Univ, Dept Math, Lanzhou 730070, Peoples R China
[2] Lanzhou Univ, Dept Math, Lanzhou 730000, Peoples R China
来源：
JOURNAL OF APPLIED MATHEMATICS | 2013年
基金：
中国国家自然科学基金;
关键词：
SIGNLESS LAPLACIAN; SPECTRAL THEORY; LINE;
D O I：
10.1155/2013/757542
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let G be a simple graph. The incidence energy (IE for short) of G is defined as the sum of the singular values of the incidence matrix. In this paper, a new upper bound for IE of graphs in terms of the maximum degree is given. Meanwhile, bounds for IE of the line graph of a semiregular graph and the paraline graph of a regular graph are obtained.
引用
收藏
页数：7
相关论文
共 50 条
  • [41] BOUNDS ON THE DISTANCE LAPLACIAN ENERGY OF GRAPHS
    Yang, Jieshan
    You, Lihua
    Gutman, I.
    KRAGUJEVAC JOURNAL OF MATHEMATICS, 2013, 37 (02): : 245 - 255
  • [42] New upper bounds for the energy of graphs
    Yu, AM
    Lu, M
    Tian, F
    MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 2005, 53 (02) : 441 - 448
  • [43] ON UPPER BOUNDS FOR ENERGY OF BIPARTITE GRAPHS
    Zhou, Bo
    Ramane, H. S.
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2008, 39 (06): : 483 - 490
  • [44] Lower bounds on matching energy of graphs
    Ghezelahmad, S. Khalashi
    DISCRETE APPLIED MATHEMATICS, 2022, 307 : 153 - 159
  • [45] Lower Bounds for the Energy of (Bipartite) Graphs
    Altindag, S. Burcu Bozkurt
    Bozkurt, Durmus
    MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 2017, 77 (01) : 9 - 14
  • [46] Upper bounds for Laplacian energy of graphs
    Aleksic, Tatjana
    MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 2008, 60 (02) : 435 - 439
  • [47] Sharp Bounds on the Sombor Energy of Graphs
    Rather, Bilal Ahmad
    Imran, Muhammad
    MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 2022, 88 (03) : 605 - 624
  • [48] Bounds and extremal graphs for Harary energy
    Alhevaz, A.
    Baghipur, M.
    Ganie, H. A.
    Das, K. C.
    DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS, 2022, 14 (05)
  • [49] LOWER BOUNDS FOR ENERGY OF MATRICES AND ENERGY OF REGULAR GRAPHS
    Oboudi, Mohammad Reza
    KRAGUJEVAC JOURNAL OF MATHEMATICS, 2022, 46 (05): : 701 - 709
  • [50] Bounds and extremal graphs for the energy of complex unit gain graphs
    Samanta, Aniruddha
    Kannan, M. Rajesh
    arXiv, 2023,
12345