@article {
author = {Milovanovic, Igor and Milovanovic, Emina and Matejic, Marjan and Bozkurt Altındağ, Serife Burcu},
title = {Some remarks on the sum of the inverse values of the normalized signless Laplacian eigenvalues of graphs},
journal = {Communications in Combinatorics and Optimization},
volume = {6},
number = {2},
pages = {259-271},
year = {2021},
publisher = {Azarbaijan Shahid Madani University},
issn = {2538-2128},
eissn = {2538-2136},
doi = {10.22049/cco.2021.26987.1173},
abstract = {Let $G=(V,E)$, $V=\{v_1,v_2,\ldots,v_n\}$, be a simple connected graph with $n$ vertices, $m$ edges and a sequence of vertex degrees $d_1\geq d_2\geq\cdots\geq d_n>0$, $d_i=d(v_i)$. Let ${A}=(a_{ij})_{n\times n}$ and ${D}=\mathrm{diag}d_1,d_2,\ldots , d_n)$ be the adjacency and the diagonal degree matrix of $G$, respectively. Denote by ${\mathcal{L}^+}(G)={D}^{-1/2} (D+A) {D}^{-1/2}$ the normalized signless Laplacian matrix of graph $G$. The eigenvalues of matrix $\mathcal{L}^{+}(G)$, $2=\gamma _{1}^{+}\geq \gamma_{2}^{+}\geq \cdots \geq \gamma_{n}^{+}\geq 0$, are normalized signless Laplacian eigenvalues of $G$. In this paper some bounds for the sum $K^{+}(G)=\sum_{i=1}^n\frac{1}{\gamma _{i}^{+}}$ are considered.},
keywords = {Laplacian matrix,normalized signless Laplacian matrix,eigenvalues},
url = {http://comb-opt.azaruniv.ac.ir/article_14147.html},
eprint = {http://comb-opt.azaruniv.ac.ir/article_14147_4e63e49850d86af85c9864e131513b86.pdf}
}