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Signless Laplacian spectrum of a graph

Linear Algebra and its Applications
This article presents a significant contribution to the field of algebraic graph theory with a particular focus on the signless Laplacian spectrum of graphs. The authors successfully establish tight upper bounds for all signless Laplacian eigenvalues of a graph characterized by a prescribed order and minimum degree, notably surpassing previously known ...
Amir Hossein Ghodrati, Mohammad Ali Hosseinzadeh   +1 more
openaire   +1 more source

Laplacian and Signless Laplacian Energy of Unitary Cayley Graphs

The Unitary Cayley graph Xn is a graph with vertex set Zn = {0; 1; :::; n - 1} and the edge set {ab/a; b in Zn; gcd(a - b, n) = 1}. In this paper we obtain the eigen values of Laplacian, Signless Laplacian matrix and Laplacian, Signless Laplacian energy of Uni- tary Cayley Graph Xn.
THILAGA C, SARASIJA P B
openaire   +1 more source

BOUNDS FOR SIGNLESS LAPLACIAN SPECTRAL RADIUS

2018
We consider weighted graphs, such as graphs where the edge weights are positive definite matrices of the same order in this paper. The signless Laplacian eigenvalues of a graph are the eigenvalues of the signless Laplacian matrix of a graph G. Then, we have give some bound and found different upper bounds for the signless Laplacian radius of weighted ...
Kabatas, Ulkunur, Kizilca, Fatma, Nurkahli, Semiha Basdas   +2 more
openaire   +1 more source

On the Ky Fan norm of the signless Laplacian matrix of a graph

Computational and Applied Mathematics, 2023
S. Pirzada, Rezwan Ul Shaban, Hilal A. Ganie, L. Lima   +3 more
semanticscholar   +1 more source

The signless Laplacian spectral radius of book-free graphs

Discrete Mathematics
Ming-Zhu Chen, Ya-Lei Jin, Peng-Li Zhang
semanticscholar   +1 more source

Insights into network properties: spectrum-based analysis with Laplacian and signless Laplacian spectra

The European Physical Journal Plus, 2023
Ali Raza, Muhammad Mobeen Munir
semanticscholar   +1 more source

Signless Laplacian spectral conditions for k-critical graphs with respect to [1, b]-odd factors

Graphs and Combinatorics
Tao Wang, Mengke Yang, Xiaojing Yang
semanticscholar   +1 more source

Moore-Penrose inverses of the signless Laplacian and edge-Laplacian of graphs

Discrete Mathematics, 2021
Ryan Hessert, Sudipta Mallik
exaly  

Distance signless Laplacian spectral radius for the existence of path-factors in graphs

Aequationes Mathematicae
Sizhong Zhou, Zhiren Sun, Hongxia Liu
semanticscholar   +1 more source

Two classes of graphs determined by the signless Laplacian spectrum

Linear Algebra and its Applications
Jiachang Ye, Muhuo Liu, Zoran Stanić
semanticscholar   +1 more source