Spectra of graphs:theory and application Algebraic graph theory is the branch of mathematics that studies graphs by using algebraic properties of associated matrices. More in particular, spectral ... Cvetković, Dragoš M,M Doob,H Sachs - Deutscher Verlag der Wissenschaften 被引量: 2285发表: 19...
This work is motivated by an application of spectral graph theory in cooperative control of multi-agent networked systems. Specifically, we apply our graph-theoretic results to establish bounds on the speed of convergence and the communication time-delay for solving the average-consensus problem by ...
spectral graph theorycharacteristic tensorpolynomial optimizationSUMMARYIn this paper, using variational analysis and optimization techniques, we examine some fundamental analytic properties of Z-eigenvalues of a real symmetric tensor with even order. We first establish that the maximum Z-eigenvalue function...
An excellent review of spectral graph theory is given by Chung [35]. Another important matrix is the incidence matrix, which has some very useful properties. The incidence matrix B(G) of a graph G, is a matrix having one row for each vertex and a column for each edge, with nonzero ...
Hammond, D.K., Vandergheynst, P., Gribonval, R.: Wavelets on graphs via spectral graph theory. Appl. Comput. Harmonic Anal. 30, 129–150 (2011)MathSciNetView ArticleMATH 14.Carr, J.: Applications of Centre Manifold Theory. Springer, Berlin (1981)View ArticleMATH 15.Deng, C., ...
MEMs are derived from spectral graph theory and characterize a wide range of autocorrelation structures based on the survey design, i.e. the distances between the n sampling sites or times (Dray et al., 2006). It is thus a spectral decomposition of the spatial (or temporal) relationships ...
Finally, with the introduction of the Optuna hyperparameter optimization framework, the adaptive Optuna-CatBoost can accurately diagnose bearing faults. The average fault diagnosis accuracy of the proposed method reached 99.76% and 99.33%, indicating that FCEEMD based on white noise can quickly and ...
The stages of this pipeline include the geometrical representation of skin surfaces, the spectral sampling of light sources, the modeling of (local) light and skin interactions, the computation of environmental (global) light transfers, and the conversion of the resulting radiometric quantities into ...
Spectral PropertyDense PackingA protein can be modelled by a set of points representing its amino acids. Topologically, this set of points is entirely defined by its contact matrix (adjacency matrix in graph theory). The contact matrix characterizing the relation between neighboring amino acids is ...
As immediate applications, we give a short and transparent proof of Kenyon’s result stating that the spectral curve of RSF is a Harnack curve, and provide a general setting to relate discrete massive holomorphic and harmonic functions. The other important application consists in proving universality...