• DocumentCode
    3038876
  • Title

    Kirchhoff index of hexagonal Möbius graphs

  • Author

    Wang, Guangfu ; Xu, Baogen

  • Author_Institution
    Dept. of Math., Baoshan Coll., Baoshan, China
  • fYear
    2011
  • fDate
    26-28 July 2011
  • Firstpage
    5912
  • Lastpage
    5915
  • Abstract
    We study the Kirchhoff index on hexagonal Mobius graphs HMn. Due to the Laplacian polynomial decomposition theorem, the Laplacian spectrum of HMn consists of the Laplacian spectrum of cycle C2n and eigenvalues of a symmetric quasi-tridiagonal matrix Ls of order In. Finally, an evident formula for Kirchhoff index of HMn is given in terms of the index n.
  • Keywords
    Laplace equations; eigenvalues and eigenfunctions; graph theory; polynomials; Kirchhoff index; Laplacian polynomial decomposition theorem; Laplacian spectrum; eigenvalue; hexagonal Mobius graph; symmetric quasitridiagonal matrix; Educational institutions; Eigenvalues and eigenfunctions; Indexes; Laplace equations; Matrix decomposition; Polynomials; Resistance; Hexagonal Möbius graph; Kirchhoff index; Laplacian spectrum; Resistance distance;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Multimedia Technology (ICMT), 2011 International Conference on
  • Conference_Location
    Hangzhou
  • Print_ISBN
    978-1-61284-771-9
  • Type

    conf

  • DOI
    10.1109/ICMT.2011.6002507
  • Filename
    6002507
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3038876