Spectral radius of a planar graph [J]. Linear Algebra Appl., 1993, 187: 251-257.D. Cao, A. Vince, The spectral radius of a planar graph, Linear Algebra Appl. 187 (1993) 251± 257.D. Cao & A. Vince. "The Spectral Radius of a Planar Graph." Linear Algebra Appl. 187 (1993):...
Shu, J.L., Hong, Y.: The upper bound for the spectral radius of outerplanar graphs and Halin graphs. Chin. Ann. Math. Ser. A 21, 677–682 (2000) (in Chinese) Stanić, Z.: Inequalities for Graph Eigenvalues, London Mathematical Society Lecture Note Series, vol. 423. Cambridge Unive...
The Aα- spectral radius of G is the largest eigenvalue of Aα(G). In this paper, we determine the first three largest extremal graphs in Halin graphs by their Aα- spectral radii when 12≤α<1. For 0≤α≤1, the 3-regular Halin graph alone minimizes the Aα- spectral radius for...
Upper bounds of the spectral radius of graphs in terms of genus
planar graphouterplanar graphHalin graph05C5005C10Let G be an n-vertex simple graph embeddable on a surface of Euler genus γ. We present the upper bounds for the signless Laplacian spectral radius of G in terms of n and γ, with further improvements when G is an outerplanar or Halin ...
Let G be a simple undirected graph. For nu is an element of V(G), the 2-degree of nu is the sum of the degrees of the vertices adjacent to nu. Denote by rho(G) and mu(G) the spectral radius of the adjacency matrix and the Laplacian matrix of G, respectively. In this paper, ...
soaring kite: a tale of two punctured tori Mathieu Giroux ,a Andrzej Pokraka ,b Franziska Porkert c and Yoann Sohnle d aDepartment of Physics, McGill University, 3600 Rue University, Montréal, H3A 2T8, QC Canada bDepartment of Physics, Brown University, Providence, RI 02912, U.S.A. ...
Thereflectivityof a surface is a measurement of the fraction of incident radiation reflected. It’s very simple. This material property has a wavelength dependence and (sometimes) a directional dependence. Here is a typical graph of a few materials: ...
For approximately planar objects the parallel method is useful. In this acquisition scheme, none of the images will cover the entire scene; instead, every image is a tile of the scene. The present work is about the 3D reconstruction of a historical overpass; given the complexity of the ...
Research on Aα-matrix has become popular recently. Up to now, there are a considerable results on Aα(G) in the literature, such as the positive semidefinitness [50], the spectral radius [7], [28], [33], [49], [51], [55], [61], [65], [66], [68], [70], the second...