Results 91 to 100 of about 2,064,253 (190)

ENERGY AND LAPLACIAN SPECTRUM OF C 4 C 8 (S) NANOTORI AND NANOTUBE [PDF]

open access: yes, 2020
The spectrum of a finite graph is by definition the spectrum of the adjacency matrix, that is, its set of eigenvalues together with their multiplicities. The sum of the absolutes of these eigenvalues is the energy of graph.
Majid Arezoomand
core  

On the Laplacian Spectrum of (α, ω) -Graphs

open access: yes, 2002
We study the Laplacian spectrum of (α, ω)-graphs which play an important role in the theory of perfect graphs. The properties of the spectrum we found allow the establishment of some structural properties of (α, ω)-graphs.
Kelmans, Alexander, Alexander Kelmans
core   +1 more source

The spectrum of the Laplacian of Kähler manifolds

open access: yes, 1980
We strengthen some results on the spectrum of the Laplacian for 0- and 1-forms [8], [9] on Kähler manifolds and give some new results for the 2-forms.
Lieven Vanhecke, Bang-Yen Chen
core   +1 more source

The Laplacian spectrum of graphs

open access: yes, 1991
. The paper is essentially a survey of known results about the spectrum of the Laplacian matrix of graphs with special emphasis on the second smallest Lapla-cian eigenvalue λ2 and its relation to numerous graph invariants, including connectivity ...
Bojan Mohar
core  

Spectral Decomposition of the Weinstein Laplacian and Its Application to the Associated Heat Transform

open access: yesInternational Journal of Mathematics and Mathematical Sciences
For the Weinstein Laplacian considered on the Hilbert space which makes it a self-adjoint operator, the Von Neumann spectral decomposition is given. As applications, a new integral representation for the Weinstein heat kernel is given. Also, it is proved
Abdelilah El Mourni   +2 more
doaj   +1 more source

The spectrum of the periodic p-Laplacian

open access: yes, 2007
We consider one-dimensional p-Laplacian eigenvalue problems of the form- ?p u = (? - q) | u |p - 1 sgn u, on (0, b), together with periodic or separated boundary conditions, where p > 1, ?p is the p-Laplacian, q ? C1 [0, b], and b > 0, ? ? R.
Bryan P. Rynne   +4 more
core   +1 more source

Model selection for network data based on spectral information

open access: yesApplied Network Science
In this work, we explore the extent to which the spectrum of the graph Laplacian can characterize the probability distribution of random graphs for the purpose of model evaluation and model selection for network data applications.
Jairo Iván Peña Hidalgo   +1 more
doaj   +1 more source

Estimates for the counting function of the laplace operator on domains with rough boundaries [PDF]

open access: yes, 2009
Netrusov, Y   +5 more
core   +1 more source

Evolution of laplacian spectrum under Hamilton's Ricci flow

open access: yes, 2007
Spectrum of the Laplacian-Beltrami operator on closed Riemannian manifolds were extensively studied by geometric analysts since 1970s. The results obtained by S.Y. Cheng, Peter Li and S.T.
Fong, Tsz Ho
core  

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