Results 21 to 30 of about 5,819 (125)

Effects of duplication operations on signless laplacian spectrum and network measures

Boletim da Sociedade Paranaense de Matemática
This article investigates the spectral properties of graphs under vertex and edge duplication, analyzing how these operations affect the eigenvalues of Signless Laplacian operators. We derive the spectra for graphs with duplicated vertices and edges, and
Fareeha Hanif, Ali Raza
semanticscholar   +2 more sources

On the Laplacian and signless Laplacian spectrum of a graph with k pairwise co-neighbor vertices

Linear Algebra and its Applications, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
N. Abreu, D. Cardoso, E. Martins, María Robbiano   +3 more
semanticscholar   +6 more sources

Signless Laplacian spectrum of power graph of certain finite non-commutative groups

International Journal of Mathematics and Computer in Engineering
In this present study, we investigate the signless Laplacian spectrum of power graphs of different finite non-commutative groups. Initially, we obtain the spectrum of the signless Laplacian matrix of power graph of elementary abelian groups whose orders ...
Subarsha Banerjee
semanticscholar   +2 more sources

Bounds of signless Laplacian spectrum of graphs based on the k-domination number

Linear Algebra and its Applications, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Huiqing Liu, Mei Lu
semanticscholar   +2 more sources

On the reduced signless Laplacian spectrum of a degree maximal graph

Linear Algebra and its Applications, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
B. Tam, Shu-hui Wu
semanticscholar   +2 more sources

Graphs determined by signless Laplacian spectra

AKCE International Journal of Graphs and Combinatorics, 2020
In the past decades, graphs that are determined by their spectrum have received more attention, since they have been applied to several fields, such as randomized algorithms, combinatorial optimization problems and machine learning.
Ali Zeydi Abdian, Afshin Behmaram, Gholam Hossein Fath-Tabar   +2 more
doaj   +2 more sources

On the Signless Laplacian ABC-Spectral Properties of a Graph

Mathematics
In the paper, we introduce the signless Laplacian ABC-matrix Q̃(G)=D¯(G)+Ã(G), where D¯(G) is the diagonal matrix of ABC-degrees and Ã(G) is the ABC-matrix of G. The eigenvalues of the matrix Q̃(G) are the signless Laplacian ABC-eigenvalues of G.
Bilal A. Rather, Hilal A. Ganie, Yilun Shang   +2 more
doaj   +2 more sources

Signless Laplacian characterization of cones over disjoint unions of cycles, edges and isolated vertices

Special Matrices
Two graphs are said to be Q-cospectral if they share the same signless Laplacian spectrum. A simple graph is said to be determined by its signless Laplacian spectrum (abbreviated as DQS) if there exists no other non-isomorphic simple graph with the same ...
Ye Jiachang, Qian Jianguo, Stanić Zoran
doaj   +2 more sources

Some inequalities involving the distance signless Laplacian eigenvalues of graphs [PDF]

Transactions on Combinatorics, 2021
‎Given a simple graph $G$‎, ‎the distance signlesss Laplacian‎ ‎$D^{Q}(G)=Tr(G)+D(G)$ is the sum of vertex transmissions matrix‎ ‎$Tr(G)$ and distance matrix $D(G)$‎.
Abdollah Alhevaz, ‎Maryam Baghipur, Shariefuddin Pirzada, Yilun Shang   +3 more
doaj   +1 more source

Spectrum of Signless 1-Laplacian on Simplicial Complexes [PDF]

The Electronic Journal of Combinatorics, 2020
We introduce the signless 1-Laplacian and the dual Cheeger constant on simplicial complexes.  The connection of its spectrum to the combinatorial properties like independence number,  chromatic number and dual Cheeger constant is investigated. Our estimates  can be comparable to Hoffman's bounds on Laplacian eigenvalues of simplicial complexes.
Xin Luo, Dong Zhang
openaire   +2 more sources