Results 51 to 60 of about 1,315,432 (182)
Interlacing Properties of Eigenvalues of Laplacian and Net-Laplacian Matrix of Signed Graphs [PDF]
, 2023 This paper explores interlacing inequalities in the Laplacian spectrum of signed cycles and investigates interlacing relationship between the spectrum of the net-Laplacian of a signed graph and its subgraph formed by removing a vertex together with its ...
Guragain, Satyam, Srivastava, Ravi
core
Color laplacian and color signless laplacian energy of complement of subgroup graph of dihedral group [PDF]
, 2020 Laplacian and signless laplacian energy of a finite graph is the most interesting topics on areas of energy of a graph. The new concept of energy of a graph is color energy and furthermore color laplacian and color signless laplacian energy.
Mohammad Jauhari +7 more
core +1 more source
On the spectrum of Robin Laplacian in a planar waveguide [PDF]
, 1975 summary:We consider the Laplace operator in a planar waveguide, i.e. an infinite two-dimensional straight strip of constant width, with Robin boundary conditions.
Rossini, Alex Ferreira
core +1 more source
Normalized Laplacian Spectrum of Some Q-Coronas of Two Regular Graphs
Discussiones Mathematicae - General Algebra and Applications, 2021 In this paper we determine the normalized Laplacian spectrum of the Q-vertex corona, Q-edge corona, Q-vertex neighborhood corona, and Q-edge neighborhood corona of a connected regular graph with an arbitrary regular graph in terms of normalized Laplacian
Das Arpita, Panigrahi Pratima
doaj +1 more source
On the Signless Laplacian Eigenvalues and Optimum SLE of Graph
Fuzzy Optimization and Modeling, 2022 Let G be a graph of order n and with the vertex set {v_1,v_2,…,v_n } and the edge set E(G). The adjancency matrix of G is an n×n matrix A(G) whose (i,j)-entry is 1 if v_i is adjacent to v_j and 0, otherwise.
Gholam Hossein Fath-Tabar
doaj +1 more source
On energy, Laplacian energy and $p$-fold graphs
Electronic Journal of Graph Theory and Applications, 2015 For a graph $G$ having adjacency spectrum ($A$-spectrum) $\lambda_n\leq\lambda_{n-1}\leq\cdots\leq\lambda_1$ and Laplacian spectrum ($L$-spectrum) $0=\mu_n\leq\mu_{n-1}\leq\cdots\leq\mu_1$, the energy is defined as $ E(G)=\sum_{i=1}^{n}|\lambda_i|$ and ...
Hilal A Ganie +2 more
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A spectral excess theorem for digraphs with normal Laplacian matrices [PDF]
Transactions on Combinatorics, 2018 The spectral excess theorem, due to Fiol and Garriga in 1997, is an important result, because it gives a good characterization of distance-regularity in graphs. Up to now, some authors have given some variations of this theorem.
Fateme Shafiei
doaj +1 more source
Color signless Laplacian energy of graphs
AKCE International Journal of Graphs and Combinatorics, 2017 In this paper, we introduce the new concept of color Signless Laplacian energy . It depends on the underlying graph and the colors of the vertices. Moreover, we compute color signless Laplacian spectrum and the color signless Laplacian energy of families
Pradeep G. Bhat, Sabitha D’Souza
doaj +1 more source
The Beginning of the Fučik Spectrum for the p-Laplacian
Journal of Differential Equations, 1999 Let \(\Omega\) be a bounded domain in \(\mathbb{R}^N\), \(N\geq 1\) and let \(p\) be a real number greater than \(1\). The Fučik spectrum of the \(p\)-Laplacian \(\Delta_p=\operatorname {div}(|\nabla u|^{p-2}\nabla u)\) on \(W^{1,p}_0(\Omega)\) is defined as the set \(\Sigma_p\) of pairs \((\alpha,\beta)\in \mathbb{R}^2\) such that the Dirichlet ...
Gossez, Jean-Pierre +2 more
openaire +3 more sources
On the spectrum of the hierarchical Laplacian [PDF]
Potential Analysis, 2014 Let $(X,d)$ be a locally compact separable ultrametric space. We assume that $(X,d)$ is proper, that is, any closed ball $B$ in $X$ is a compact set. Given a measure $m$ on $X$ and a function $C(B)$ defined on the set of balls (the choice function), we define the hierarchical Laplacian $L_C$ which is closely related to the concept of the hierarchical ...
Bendikov, Alexander, Krupski, Paweł
openaire +3 more sources