Ordering trees by their abc spectral radii
WebConsequently, the trees of order at least 10 with the 1st to 5th largest ABC spectral radii are determined. We wonder how the “Ruler Theorem” holds for ABC spectral radius of trees. Let G = ( V , E ) be a connected graph, where V = { v 1 , v 2 , … WebAug 3, 2024 · Title:Ordering Trees by Their ABC Spectral Radii Authors:Wenshui Lin, Zhangyong Yan, Peifang Fu, Jia-Bao Liu Download PDF Abstract:Let $G=(V,E)$ be a connected graph, where $V=\{v_1, v_2, \cdots, v_n\}$. $d_i$ denote the degree of vertex $v_i$. The ABC matrix of $G$ is defined as
Ordering trees by their abc spectral radii
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WebWe show that the ordering of starlike trees by spectral radii coincides with the shortlex ordering of nondecreasing sequences of their branch lengths. Spectral radius ordering of starlike trees: Linear and Multilinear Algebra: Vol 68, No 5 WebTwo graph perturbations with respect to ABC spectral radius are established. Consequently, the trees of order at least 10 with the 1st to 5th largest ABC spectral radii are determined. We wonder how the “Ruler Theorem” holds for ABC spectral radius of trees.
WebApr 20, 2016 · Ordering trees by their distance spectral radii Wang and Zhou [19] and Du et al. [5] have considered to order the trees by their distance spectral radii, and determined the first three trees with small distance spectral radius. Lemma 3.1 [5], [19] Let T ∉ { S n, S n − 2, 2, S n − 3, 3 } be a tree on n ≥ 6 vertices. WebDOI: 10.1002/qua.26519 Corpus ID: 220936489; Ordering trees by their ABC spectral radii @article{Lin2024OrderingTB, title={Ordering trees by their ABC spectral radii}, author={Wenshui Lin and Zhangyong Yan and Peifang Fu and Jia-bao Liu}, journal={arXiv: Combinatorics}, year={2024} }
Webtrees with first four largest values of the ABCspectral radius, in the class of trees on nvertices. Subsequently, we are able to provide a better upper bound on the ABCspectral radius of trees. 2. Main results Let Aand Bbe two square matrices of same size. We say, Adominates B, write it as A B or B Aif A Bis a nonnegative matrix. WebThe ABC spectral radius of $G$ is the largest eigenvalue of $M(G)$. In the present paper, we establish two graph perturbations with respect to ABC spectral radius. By applying these perturbations, the trees with the third, fourth, and fifth …
WebA. Yu et al. / Linear Algebra and its Applications 405 (2005) 45–59 47 Theorems 1.1–1.4 give the first four trees in Tn, ordered according to their Lapla- cian spectral radii. In this paper, we refined the above results and determine the fifth
WebFeb 13, 2024 · It is concluded that the arithmetic-geometric spectral radius is a good indicator in forecasting Acentric Factor, Entropy and two topological descriptors SNar, HNar of octane isomers. Since molecular graphs of octane isomers are trees, we study arithmetic-geometric spectral radius of general trees. fish creek lodging wiWebMar 1, 2024 · The ABC matrix of a graph G, recently introduced by Estrada, is the square matrix of order whose -entry is equal to if the -th vertex and the -th vertex of G are adjacent, and 0 otherwise, where is the degree of the -th vertex of G ABC spectral radius G is the largest eigenvalue of the ABC matrix of , which is denoted by . fish creek massageWebwith the largest ABC spectral radius among all cactus graphs with fixed order and number of ... [14] W. LIN,Z.YAN,P.FU AND J. LIU, Ordering trees by their ABC spectral radii, Int. J. Quantum. Chem. 121, (2024), e26519. [15] Y. YUAN ANDZ. DU, The first two maximum ABC spectral radii of bicyclic graphs, Linear Algebra can a company ask for my dob in an interviewWebWe study the spectrum of Laplacian for trees, and make an approach to ordering trees by the spectral radius of Laplacian. A general method of ordering trees is derived as well, and as its applications, we give the optimal estimates of the orderings of two types of trees. fish creek marshall county wvWebMay 28, 2024 · The -spectral radius of a cactus graph with n vertices and k cycles is explored. The outcomes obtained in this paper can imply some previous bounds from trees to cacti. In addition, the corresponding extremal graphs are determined. Furthermore, we proposed all eigenvalues of such extremal cacti. fish creek mini golfWebWe study the spectrum of Laplacian for trees, and make an approach to ordering trees by the spectral radius of Laplacian. A general method of ordering trees is derived as well, and as its applications, we give the optimal estimates of the orderings of two types of trees. Sign InHelp Email PasswordForgot your password? Show can a company ban smoking at workWebJan 11, 2024 · order, size and spectral radius of G. Zheng et al. [6, 7] derived AG spectral radius of trees and unicyclic graphs and determined extremal values on AG spectral radius of trees independently. Later, Zheng and Jin [8] characterized unicyclic graphs of order n ≥ 5 with the smallest and first four largest AG spectral radii detailly. The upper can a company apply for green card in opt