Resistance distance and Kirchhoff index of two edge-subdivision corona graphs

被引:0
|
作者
Liu, Qun [1 ,2 ]
机构
[1] School of Computer Science, Fudan University, Shanghai,200433, China
[2] School of Mathematics and Statistics, Hexi University, Gansu, Zhangye,734000, China
基金
中国国家自然科学基金;
关键词
Graph theory;
D O I
暂无
中图分类号
O144 [集合论]; O157 [组合数学(组合学)];
学科分类号
070104 ;
摘要
In this work we first obtain the group inverse of the edge-subdivision-vertex corona and edge-subdivision-edge corona in terms of the group inverse of the factor graphs. Then the resistance distance and Kirchhoff index of these graphs can be derived from the resistance distance and Kirchhoff index of the factor graphs. © 2019, International Association of Engineers.
引用
收藏
相关论文
共 50 条
  • [31] On resistance-distance and Kirchhoff index
    Zhou, Bo
    Trinajstic, Nenad
    JOURNAL OF MATHEMATICAL CHEMISTRY, 2009, 46 (01) : 283 - 289
  • [32] On resistance-distance and Kirchhoff index
    Bo Zhou
    Nenad Trinajstić
    Journal of Mathematical Chemistry, 2009, 46
  • [33] Computation of resistance distance and Kirchhoff index of the two classes of silicate networks
    Sardar, Muhammad Shoaib
    Pan, Xiang-Feng
    Xu, Si-Ao
    APPLIED MATHEMATICS AND COMPUTATION, 2020, 381
  • [34] Comment on "Kirchhoff index in line, subdivision and total graphs of a regular graph"
    You, Zhifu
    You, Lihua
    Hong, Wenxi
    DISCRETE APPLIED MATHEMATICS, 2013, 161 (18) : 3100 - 3103
  • [35] The distance Laplacian and distance signless Laplacian spectrum of the subdivision-vertex join and subdivision-edge join of two regular graphs
    Scaria, Deena C.
    Indulal, G.
    DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS, 2019, 11 (05)
  • [36] THE SPECTRUM OF THE EDGE CORONA OF TWO GRAPHS
    Hou, Yaoping
    Shiu, Wai-Chee
    ELECTRONIC JOURNAL OF LINEAR ALGEBRA, 2010, 20 : 586 - 594
  • [37] Resistance distances and Kirchhoff index of graphs with an involution
    Shi, Liyuan
    Chen, Haiyan
    DISCRETE APPLIED MATHEMATICS, 2016, 215 : 185 - 196
  • [38] Resistance distances and the Kirchhoff index in double graphs
    Huang Q.
    Chen H.
    Deng Q.
    Journal of Applied Mathematics and Computing, 2016, 50 (1-2) : 1 - 14
  • [39] The Normalized Laplacian Spectrum of Subdivision Vertex-Edge Corona for Graphs
    Muchun LI
    You ZHANG
    Fei WEN
    JournalofMathematicalResearchwithApplications, 2019, 39 (03) : 221 - 232
  • [40] Resistance distances and the Kirchhoff index in Cayley graphs
    Gao, Xing
    Luo, Yanfeng
    Liu, Wenwen
    DISCRETE APPLIED MATHEMATICS, 2011, 159 (17) : 2050 - 2057