Results 71 to 80 of about 2,064,253 (190)

The Laplacian spectrum of graphs

, 2001
In this thesis we investigate the spectrum of the Laplacian matrix of a graph. Although its use dates back to Kirchhoff, most of the major results are much more recent.
Newman, Michael William
core  

Starlike trees are determined by their Laplacian spectrum

, 2007
In this paper, we show that if G is a starlike tree, then it is determined by its Laplacian spectrum.
Omidi, G.R., Tajbakhsh, K.
core   +1 more source

On the Fucik spectrum of the Laplacian on a torus [PDF]

, 2009
We study the Fucik spectrum of the Laplacian on a two-dimensional torus T(2). Exploiting the invariance properties of the domain T(2) with respect to translations we obtain a good description of large parts of the spectrum.
MASSA, Eugenio, E. Massa, RUF, Bernhard, B. Ruf   +3 more
core   +1 more source

Developments on Spectral Characterizations of Graphs

In [E.R. van Dam and W.H. Haemers, Which graphs are determined by their spectrum?, Linear Algebra Appl. 373 (2003), 241-272] we gave a survey of answers to the question of which graphs are determined by the spectrum of some matrix associated to the graph.
Dam, E.R. van, Haemers, W.H.
core   +2 more sources

Outer Approximation of the Spectrum of a Fractal Laplacian

, 2007
The Neumann spectrum of a Laplacian on a fractal K in the plane is approximated as a renormalized limit of the Neumann spectra of the standard Laplacian on a sequence of domains which approximate K from the outside.
Goff, Stacey
core  

Trapped modes in a waveguide with a thick obstacle

, 2004
The problem of finding necessary and sufficient condi-tions for the existence of trapped modes in waveguides has been known since 1943. [10]. The problem is the following: consider an infinite strip M in xs211D2(or an infinite cylinder with the smooth ...
Parnovski, L, Hawkins, H
core  

Adjacency spectra and Laplacian integrality of zero divisor graphs over some rings

Kuwait Journal of Science
Let 𝑅 be a commutative ring and let 𝑍∗ (𝑅) denote the set of non-zero zero divisors of 𝑅. The zero divisor graph 𝛤(𝑅) is defined as the simple graph with vertex set 𝑍∗ (𝑅), where two distinct vertices 𝑥, 𝑦 ∈ 𝑍∗ (𝑅) are adjacent if and only if 𝑥𝑦 = 0.
Bilal Ahmad Rather, Parvez Ali, M. Imran, A. Kothepeda   +3 more
doaj   +1 more source

LAPLACIAN SPECTRUM AND ENERGY OF NON-COMMUTING GRAPHS OF FINITE RINGS [PDF]

Journal of Algebraic Systems
We compute spectrum, energy, Laplacian spectrum/ energy and signless Laplacian spectrum/energy of non-commuting graphs of certain finite non-commutative rings. In particular, we consider finite rings $R$ such that $|R| = p^2, p^3, p^4$, $p^5$, $p^2q$ and
Monalisha Sharma, Rajat Nath
doaj   +1 more source

Exponential growth and the spectrum of the Laplacian

, 1981
Conditions are given on a noncompact manifold which allow one to conclude that 0 is in the spectrum of the Laplacian on M M .
Robert Brooks
core   +1 more source

The Laplacian Spectrum of Coronas

, 2005
主要研究冠的拉普拉斯谱.设G1 G2是两个简单连通图G1和G2的冠,L1是G1的拉普拉斯矩阵,μ1,μ2,…,μm是G2的拉普拉斯谱,且0 ...
徐慧植
core