Bounds of Laplacian Energy of a Hypercube Graph

  • Authors

    • K. Ameenal Bibi
    • B. Vijayalakshmi
    • R. Jothilakshmi
    2018-10-02
    https://doi.org/10.14419/ijet.v7i4.10.21287
  • Hypercube graph, Laplacian Energy, Regular graph

  • Abstract

    Let  Qn denote  the n – dimensional  hypercube  with  order   2n and  size n2n-1. The  Laplacian  L  is defined  by  L = D  where D is  the  degree  matrix and  A is  the  adjacency  matrix  with  zero  diagonal  entries.  The  Laplacian  is a  symmetric  positive  semidefinite.  Let  µ1 ≥ µ2 ≥ ....µn-1 ≥ µn = 0 be the eigen values of  the Laplacian matrix.  The  Laplacian  energy is defined as  LE(G) = . In  this  paper, we  defined  Laplacian  energy  of  a  Hypercube  graph  and  also attained  the  lower  bounds.

     

     

     

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  • How to Cite

    Ameenal Bibi, K., Vijayalakshmi, B., & Jothilakshmi, R. (2018). Bounds of Laplacian Energy of a Hypercube Graph. International Journal of Engineering & Technology, 7(4.10), 582-584. https://doi.org/10.14419/ijet.v7i4.10.21287

    Received date: 2018-10-08

    Accepted date: 2018-10-08

    Published date: 2018-10-02