On Laplacian-energy-like Invariant and Incidence Energy

نویسندگان

  • S. PIRZADA
  • HILAL A. GANIE
  • Ivan Gutman
  • Hilal A. Ganie
چکیده

For a simple connected graph G with n-vertices having Laplacian eigenvalues μ1, μ2, . . . , μn−1, μn = 0, and signless Laplacian eigenvalues q1, q2, . . . , qn, the Laplacian-energy-like invariant(LEL) and the incidence energy (IE) of a graph G are respectively defined as LEL(G) = ∑n−1 i=1 √ μi and IE(G) = ∑n i=1 √ qi. In this paper, we obtain some sharp lower and upper bounds for the Laplacianenergy-like invariant and incidence energy of a graph.

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تاریخ انتشار 2015