Title of article :
ON SUM OF POWERS OF THE SIGNLESS LAPLACIAN EIGENVALUES OF GRAPHS
Author/Authors :
Liu, Muhuo South China Normal University - School of Mathematics, China , Liu, Muhuo South China Agricultural University - Department of Applied Mathematics, China , Liu, Muhuo Nanjing Normal University - School of Mathematical Science, China , Liu, Bolian South China Normal University - School of Mathematics, China
Abstract :
For a graph G and a real number α (α ≠ 0, 1), the graph invariant S_α(G) is the sum of the α^th power of the signless Laplacian eigenvalues of G. Let IE(G) denote the incidence energy of G, i.e., IE(G) = S^1/2(G). This note presents some properties and bounds for S_α(G) and IE(G).
Keywords :
Signless Laplacian matrix , Laplacian matrix , Incidence energy.
Journal title :
Hacettepe Journal Of Mathematics and Statistics
Journal title :
Hacettepe Journal Of Mathematics and Statistics
