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
  • [41] On the Spectra of Reduced Distance Matrix of Thorn Graphs
    Heydari, Abbas
    IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY, 2011, 2 (01): : 81 - 87
  • [42] Complete multipartite graphs are determined by their distance spectra
    Jin, Ya-Lei
    Zhang, Xiao-Dong
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2014, 448 : 285 - 291
  • [43] Distance Laplacian spectra of joined union of graphs
    Paul, Somnath
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2022, 15 (02)
  • [44] DISTANCE SPECTRA OF H-JOIN GRAPHS
    Pokorny, M.
    Hic, P.
    ADVANCES AND APPLICATIONS IN DISCRETE MATHEMATICS, 2016, 17 (03): : 305 - 321
  • [45] Spectra of graphs and closed distance magic labelings
    Anholcer, Marcin
    Cichacz, Sylwia
    Peterin, Iztok
    DISCRETE MATHEMATICS, 2016, 339 (07) : 1915 - 1923
  • [46] Reciprocal complementary distance spectra and reciprocal complementary distance energy of line graphs of regular graphs
    Ramane, Harishchandra S.
    Yalnaik, Ashwini S.
    ELECTRONIC JOURNAL OF GRAPH THEORY AND APPLICATIONS, 2015, 3 (02) : 228 - 236
  • [47] On the distance spectral radius of some graphs
    Zhang, Xiaoling
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2012, 437 (07) : 1930 - 1941
  • [48] On the Chromatic Numbers of Some Distance Graphs
    Raigorodskii, A. M.
    Trukhan, T. V.
    DOKLADY MATHEMATICS, 2018, 98 (02) : 515 - 517
  • [49] DISTANCE DEGREE SEQUENCE OF SOME GRAPHS
    Meenakshi, S.
    Deepika, K.
    ADVANCES AND APPLICATIONS IN MATHEMATICAL SCIENCES, 2021, 20 (09): : 1787 - 1792
  • [50] The inertia of distance matrices of some graphs
    Zhang, Xiaoling
    Godsil, Chris
    DISCRETE MATHEMATICS, 2013, 313 (16) : 1655 - 1664
12345