Still some graphs are characterized by their spectra and several mathematical papers are devoted to this topic. In applications to computer sciences, spectral graph theory is considered as very strong. The benefit of using graph spectra in treating graphs is that eigenvalues and eigenvectors of ...
Bounds on graph eigenvalues II Linear Algebra Appl. (2007) B. Ning et al. Counting substructures and eigenvalues I: triangles Eur. J. Comb. (2023) M. Tait et al. Three conjectures in extremal spectral graph theory J. Comb. Theory, Ser. B (2017) J. Wang The shifting method and genera...
Springer for Research & Development doi:10.1007/s10801-015-0590-5The spectral excess theoremWeakly distance-regular digraphsDistance-regular digraphsNormal digraphs05C5005E30The spectral excess theorem, a remarkable result due to Fiol and Garriga, states that a connected regular graph with \\(d+1\\...
Graph theory is a branch of discrete mathematics that deals with the study of mathematical structures to model entities and relationships between them, in the form of nodes/vertices and relations/edges, respectively. It has been discussed by Pal Singh et al. [31], along with its wide spectrum...
SC method is based on the graph theory and is insensitive to the structure of data. Many traditional clustering problems have been solved by it. Recently, SC method has successfully been implemented in many fields such as information searching [15], bioinformatics [16], and image segmentation [...
Spectral graph theory and applications in clustering and learning on manifolds Domain-specific aspects of using spectral approaches in applications Submitted papers should be in the ICML 2013 format with a maximum of 4 pages (not including references). Please e-mail your submission to spectralicml2013...
This work evaluates the performance of the Complex Master Slave (CMS) method, that processes the spectra at the interferometer output of a spectral domain interferometry device without involving Fourier transforms (FT) after data acquisition. Reliability
In the Mie theory formalism, the scattering phase function of a population of aerosol particles is determined from the following ratio of integrals(7)F(φ)=λ2π2∫0∞S11(φ,r,mr)f(r)dr∫0∞Qsca(r,mr)r2f(r)drwhere r is the particle radius, f(r) is the size distribution function...
This novel method of extraction of quasi-spectra aims at a very challenging problem, which cannot be solved precisely even in theory: some information is irrecoverably lost. The method arises from very general assumptions on the measurement system. The method does not rely on any light-media inte...
A matrix-sequence is a sequence of the form\{X_n\}_n, whereX_nis ann\times nmatrix. Let\mu _kbe the Lebesgue measure in{\mathbb {R}}^k. Throughout this paper, all terminology from measure theory (such as “measurable function”, “a.e.”, etc.) always refers to the Lebesgue ...