TY - JOUR
ID - 101587
TI - Note on the Sum of Powers of Normalized Signless Laplacian Eigenvalues of Graphs
JO - Mathematics Interdisciplinary Research
JA - MIR
LA - en
SN - 2538-3639
AU - Bozkurt Altındağ, Ş. Burcu
AD - Konya, Turkey
Y1 - 2019
PY - 2019
VL - 4
IS - 2
SP - 171
EP - 182
KW - Normalized signless Laplacian eigenvalues
KW - Randic (normalized) incidence energy
KW - Bound
DO - 10.22052/mir.2019.208991.1180
N2 - In this paper, for a connected graph G and a real α≠0, we define a new graph invariant σα(G)-as the sum of the alphath powers of the normalized signless Laplacian eigenvalues of G. Note that σ1/2(G) is equal to Randic (normalized) incidence energy which have been recently studied in the literature [5, 15]. We present some bounds on σα(G) (α ≠ 0, 1) and also consider the special case α = 1/2.
UR - https://mir.kashanu.ac.ir/article_101587.html
L1 - https://mir.kashanu.ac.ir/article_101587_6d3f9f9d05078067f97d041c27644362.pdf
ER -