On the Second Smallest and the Largest Normalized Laplacian Eigenvalues of a Graph Article 01 July 2021 The Ihara-Zeta Function and the Spectrum of the Join of Two Semi-Regular Bipartite Graphs Article 07 April 2022 Principal eigenvector of the signless Laplacian matrix Article 13 February...
Graph LaplacianSpectral graph theoryProtein modelWe characterize the spectrum of the Laplacian of graphs composed of one or two finite or infinite chains connected to a complete graph. We show the existence of localized eigenvectors of two types, eigenvectors that vanish exactly outside the complete ...
In spectral graph theory, the (adjacency) spectrum of a graph, which is the spectrum of its adjacency matrix, is one of its topologi- cal invariants16. Thus, the spectrum of Af(e) can be used to describe the grain topology. The Laplacian matrix of a graph is defined as the degree ...
Liu. Noncompact complete Riemannian manifolds with dense eigenvalues embed- ded in the essential spectrum of the Laplacian. arXiv preprint arXiv:1805.01072, 2018.S. Jitomirskaya and W. Liu. Noncompact complete riemannian manifolds with dense eigenvalues embedded in the essential spectrum of the ...
Then we shall use A and R to denote the Laplacian and the curvature tensor of M. Throughout the paper we shall fix a point p E M and use y(x) to denote the distance function from p. Let x be any point within the cut locus of p. Then there is a unique minimal geodesic u...
Graph LaplacianSpectral graph theoryProtein modelWe characterize the spectrum of the Laplacian of graphs composed of one or two finite or infinite chains connected to a complete graph. We show the existence of localized eigenvectors of two types, eigenvectors that vanish exactly outside the complete ...
Zhou, Eigenvalues of the drifted Laplacian on complete metric measure spaces. Commun. Contemp. Math. 19, 1, 2017.X. Cheng and D. Zhou, Eigenvalues of the drifted Laplacian on complete metric measure spaces, Commun. Contemp. Math. 19, 1650001 (2017)....
Cheng X., Zho D.: Eigenvalues of the drifted Laplacian on complete metric measure spaces. Commun. Contemp. Math. http://dx.doi.org/10.1142/S0219199716500012.X. Cheng and D. Zhou, Eigenvalues of the drifted Laplacian on complete metric measure spaces, preprint, http://arxiv.org/abs/...
We introduce the notion of ( k , m )-gluing graph of two complete graphs G n , G n ′ G_n, G_n' and get an accurate value of the Ricci curvature of each edge on the gluing graph. As an application, we obtain some estimates of the eigenvalues of the normalized graph Laplacian ...
As an application, we obtain some estimates of the eigenvalues of the normalized graph Laplacian by the Ricci curvature of the (k,m)-gluing graph.Shuqin Zhanggrid.67293.39School of MathematicsHunan University 410082 Changsha ChinaYingqing Xiao...