On the distance spectra of some graphs

被引：8
|
作者：
Indulal, Gopalapillai [1 ]
Gutman, Ivan [2 ]
机构：
[1] St Aloysius Coll, Dept Math, Alappuzha 689573, India
[2] Univ Kragujevac, Fac Sci, Kragujevac 34000, Serbia
来源：
MATHEMATICAL COMMUNICATIONS | 2008年 / 13卷 / 01期
关键词：
distance eigenvalue (of a graph); distance spectrum (of a graph); distance energy (of a graph); distance-equienergetic graphs;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The D-eigenvalues of a connected graph G are the eigen-values of its distance matrix D, and form the D-spectrum of G. The D-energy E-D(G) of the graph G is the sum of the absolute values of its D-eigenvalues. Two (connected) graphs are said to be D-equienergetic if they have equal D-energies. The D-spectra of some graphs and their D-energies are calculated. A pair of D-equienergetic bipartite graphs on 24t, t >= 3, vertices is constructed.
引用
收藏
页码：123 / 131
页数：9
相关论文
共 50 条
  • [21] On the distance spectra of the product of signed graphs
    Shijin, T., V
    Soorya, P.
    Hameed, K. Shahul
    Germina, K. A.
    COMMUNICATIONS IN COMBINATORICS AND OPTIMIZATION, 2021, : 67 - 76
  • [22] Universal Distance Spectra of Join of Graphs
    Kaliyaperumal, Sakthidevi
    Desikan, Kalyani
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2024, 17 (01): : 462 - 476
  • [23] Distance Laplacian spectra of graphs: A survey
    Rather, Bilal Ahmad
    Aouchiche, Mustapha
    DISCRETE APPLIED MATHEMATICS, 2025, 361 : 136 - 195
  • [24] Distance between the spectra of certain graphs
    Mohsen Alinezhad
    Kazem Khashyarmanesh
    Mojgan Afkhami
    Indian Journal of Pure and Applied Mathematics, 2021, 52 : 548 - 557
  • [25] On (distance) signless Laplacian spectra of graphs
    B. R. Rakshith
    Kinkar Chandra Das
    M. A. Sriraj
    Journal of Applied Mathematics and Computing, 2021, 67 : 23 - 40
  • [26] On Spectra of Distance Randic Matrix of Graphs
    Ganie, Hilal A.
    Rather, Bilal Ahmad
    BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, 2022, 53 (04): : 1449 - 1467
  • [27] Modularity of some distance graphs*
    Ipatov, M. M.
    Koshelev, M. M.
    Raigorodskii, A. M.
    EUROPEAN JOURNAL OF COMBINATORICS, 2024, 117
  • [28] Modularity of Some Distance Graphs
    M. M. Ipatov
    M. M. Koshelev
    A. M. Raigorodskii
    Doklady Mathematics, 2020, 101 : 60 - 61
  • [29] Modularity of Some Distance Graphs
    Ipatov, M. M.
    Koshelev, M. M.
    Raigorodskii, A. M.
    DOKLADY MATHEMATICS, 2020, 101 (01) : 60 - 61
  • [30] Some distance magic graphs
    Godinho, Aloysius
    Singh, T.
    AKCE INTERNATIONAL JOURNAL OF GRAPHS AND COMBINATORICS, 2018, 15 (01) : 1 - 6
12345