Results 31 to 40 of about 2,218,762 (336)
Spectral properties for the Laplacian of a generalized Wigner matrix [PDF]
Random Matrices: Theory and Applications, 2021 In this paper, we consider the spectrum of a Laplacian matrix, also known as Markov matrices where the entries of the matrix are independent but have a variance profile. Motivated by recent works on generalized Wigner matrices we assume that the variance profile gives rise to a sequence of graphons.
Chatterjee, A., Hazra, R.S.
openaire +4 more sources
Cospectral constructions for several graph matrices using cousin vertices
Special Matrices, 2021 Graphs can be associated with a matrix according to some rule and we can find the spectrum of a graph with respect to that matrix. Two graphs are cospectral if they have the same spectrum.
Lorenzen Kate
doaj +1 more source
A note on the Seidel and Seidel Laplacian matrices
Boletim da Sociedade Paranaense de Matemática, 2022 In this paper we investigate the spectrum of the Seidel and Seidel Laplacian matrix of a graph. We generalized the concept of Seidel Laplacian matrix which denoted by Seidel matrix and obtained some results related to them.
Jalal Askari
doaj +1 more source
Spektrum Laplace pada graf kincir angin berarah (Q_k^3)
Majalah Ilmiah Matematika dan Statistika, 2022 Suppose that 0 = µ0 ≤ µ1 ≤ ... ≤ µn-1 are eigen values of a Laplacian matrix graph with n vertices and m(µ0), m(µ1), …, m(µn-1) are the multiplicity of each µ, so the Laplacian spectrum of a graph can be expressed as a matrix 2 × n whose line elements ...
Melly Amaliyanah +2 more
doaj +1 more source
NEW BOUNDS AND EXTREMAL GRAPHS FOR DISTANCE SIGNLESS LAPLACIAN SPECTRAL RADIUS [PDF]
Journal of Algebraic Systems, 2021 The distance signless Laplacian spectral radius of a connected graph $G$ is the largest eigenvalue of the distance signless Laplacian matrix of $G$, defined as $D^{Q}(G)=Tr(G)+D(G)$, where $D(G)$ is the distance matrix of $G$ and $Tr(G)$ is the diagonal ...
A. Alhevaz, M. Baghipur, S. Paul
doaj +1 more source
Principal eigenvector of the signless Laplacian matrix [PDF]
Computational and Applied Mathematics, 2021 In this paper, we study the entries of the principal eigenvector of the signless Laplacian matrix of a hypergraph. More precisely, we obtain bounds for this entries. These bounds are computed trough other important parameters, such as spectral radius, maximum and minimum degree.
openaire +3 more sources
Journal of Mathematics, 2021 Let G be a graph with n vertices, and let LG and QG denote the Laplacian matrix and signless Laplacian matrix, respectively. The Laplacian (respectively, signless Laplacian) permanental polynomial of G is defined as the permanent of the characteristic ...
Tingzeng Wu, Tian Zhou
doaj +1 more source
Multi-View Spectral Clustering with Optimal Neighborhood Laplacian Matrix
AAAI Conference on Artificial Intelligence, 2020 Multi-view spectral clustering aims to group data into different categories by optimally exploring complementary information from multiple Laplacian matrices.
Sihang Zhou +8 more
semanticscholar +1 more source
Computing Laplacian energy, Laplacian-energy-like invariant and Kirchhoff index of graphs
Acta Universitatis Sapientiae: Informatica, 2022 Let G be a simple connected graph of order n and size m. The matrix L(G)= D(G)− A(G) is called the Laplacian matrix of the graph G,where D(G) and A(G) are the degree diagonal matrix and the adjacency matrix, respectively.
Bhatnagar S., Merajuddin, Pirzada S.
doaj +1 more source
Sharp Bounds on (Generalized) Distance Energy of Graphs [PDF]
, 2020 Given a simple connected graph G, let D(G) be the distance matrix, DL(G) be the distance Laplacian matrix, DQ(G) be the distance signless Laplacian matrix, and Tr(G) be the vertex transmission diagonal matrix of G.
Alhevaz, Abdollah +3 more
core +1 more source