Results 61 to 70 of about 67,630 (266)
Strongly Regular Graphs as Laplacian Extremal Graphs [PDF]
, 2014 The Laplacian spread of a graph is the difference between the largest eigenvalue and the second-smallest eigenvalue of the Laplacian matrix of the graph.
Lin, Fan-Hsuan, Weng, Chih-wen
core
Majorization bounds for signless Laplacian eigenvalues
The Electronic Journal of Linear Algebra, 2013 It is known that, for a simple graph G and a real number , the quantity s0 (G) is defined as the sum of the -th power of non-zero singless Laplacian eigenvalues of G. In this paper, first some majorization bounds over s 0(G) are presented in terms of the degree sequences, and number of vertices and edges of G. Additionally, a connection between s 0(G)
Maden, A. Dilek, Cevik, A. Sinan
openaire +2 more sources
Asymptotics for the Spectrum of the Laplacian in Thin Bars with Varying Cross Sections
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We consider spectral problems for the Laplace operator in 3D rod structures with a small cross section of diameter O(ε)$$ O\left(\varepsilon \right) $$, ε$$ \varepsilon $$ being a positive parameter. The boundary conditions are Dirichlet (Neumann, respectively) on the bases of this structure, and Neumann on the lateral boundary.
Pablo Benavent‐Ocejo +2 more
wiley +1 more source
On Path Laplacian Eigenvalues and Path Laplacian Energy of Graphs
Journal of New Theory, 2018 We introduce the concept of Path Laplacian Matrix for a graph and explore the eigenvalues of this matrix. The eigenvalues of this matrix are called the path Laplacian eigenvalues of the graph.
Shridhar Chandrakant Patekar +1 more
doaj
, 2018 In this paper, we consider the eigen-solutions of $-\Delta u+ Vu=\lambda u$, where $\Delta$ is the Laplacian on a non-compact complete Riemannian manifold.
Liu, Wencai
core +1 more source
Eigenvalue bounds for the signless laplacian
Publications de l'Institut Mathematique, 2007 We extend our previous survey of properties of spectra of signless Laplacians of graphs. Some new bounds for eigenvalues are given, and the main result concerns the graphs whose largest eigenvalue is maximal among the graphs with fixed numbers of vertices and edges. The results are presented in the context of a number of computer-generated conjectures.
Cvetkovic, Dragos +2 more
openaire +2 more sources
Weak Solutions for a Class of Nonlocal Singular Problems Over the Nehari Manifold
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this paper, we consider a nonlocal model of dilatant non‐Newtonian fluid with a Dirichlet boundary condition. By using the Nehari manifold and fibering map methods, we obtain the existence of at least two weak solutions, with sign information.
Zhenfeng Zhang +2 more
wiley +1 more source
Frequency response and gap tuning for nonlinear electrical oscillator networks. [PDF]
PLoS ONE, 2013 We study nonlinear electrical oscillator networks, the smallest example of which consists of a voltage-dependent capacitor, an inductor, and a resistor driven by a pure tone source. By allowing the network topology to be that of any connected graph, such
Harish S Bhat, Garnet J Vaz
doaj +1 more source
Signed graphs with integral net Laplacian spectrum
AKCE International Journal of Graphs and Combinatorics, 2023 Given a signed graph [Formula: see text], let [Formula: see text] and [Formula: see text] be its standard adjacency matrix and the diagonal matrix of net-degrees, respectively.
M. Anđelić +3 more
doaj +1 more source
Ricci curvature and eigenvalue estimates for the magnetic Laplacian on manifolds [PDF]
, 2021 Michela Egidi +3 more
openalex +1 more source