• Title of article

    On Laplacian-energy-like invariant and incidence energy

  • Author/Authors

    -، - نويسنده University of Kashmir Pirzada, Shariefuddin , -، - نويسنده University of Kashmir Ganie, Hilal

  • Issue Information
    فصلنامه با شماره پیاپی 0 سال 2015
  • Pages
    11
  • From page
    25
  • To page
    35
  • Abstract
    -
  • Abstract
    For a simple connected graph $G$ with $n$-vertices having Laplacian eigenvalues‎ ‎$mu_1$‎, ‎$mu_2$‎, ‎$dots$‎, ‎$mu_{n-1}$‎, ‎$mu_n=0$‎, ‎and signless Laplacian eigenvalues $q_1‎, ‎q_2,dots‎, ‎q_n$‎, ‎the Laplacian-energy-like invariant($LEL$) and the incidence energy ($IE$) of a graph $G$ are respectively defined as $LEL(G)=sum_{i=1}^{n-1}sqrt{mu_i}$ and $IE(G)=sum_{i=1}^{n}sqrt{q_i}$‎. ‎In this paper‎, ‎we obtain some sharp lower and upper bounds for the Laplacian-energy-like invariant and incidence energy of a graph‎.
  • Journal title
    Transactions on Combinatorics
  • Serial Year
    2015
  • Journal title
    Transactions on Combinatorics
  • Record number

    2353753