Ordering trees by their abc spectral radii

Author: jpdz

August undefined, 2024

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 · The ABC matrix of a graph G, recently introduced by Estrada, is the square matrix of order G whose (i,j)-entry is equal to (di+dj−2)/(didj) if the i-th vertex and the j-th vertex of G are...

Ordering trees by their Laplacian spectral radii - CORE

WebJun 11, 2024 · Denote by Tn the set of trees on n vertices. Zhang and Li [X.D. Zang, J.S. Li, The two largest eigenvalues of Laplacian matrices of trees (in Chinese), J. China Univ. Sci. Technol. 28 (1998) 513518] and Guo [J.M. Guo, On the Laplacian spectral radius of a tree, Linear Algebra Appl. 368 (2003) 379385] give the first four trees in Tn , ordered according … WebMar 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 . portsmouth va quality inn

Distance spectral radius of trees with given matching number

WebThe ABC spectral radius of G is the largest eigenvalue of M(G). In the present paper, two graph perturbations with respect to ABC spectral radius are established. By applying these perturbations, the trees with the third, fourth, and fifth largest ABC spectral radii are determined. ... Ordering trees by their ABC spectral radii. Wenshui Lin ... WebOrdering Trees by Their ABC Spectral Radii Wenshui Lin, Zhangyong Yan, Peifang Fu, Jia-Bao Liu Subjects: Combinatorics (math.CO); Spectral Theory (math.SP) [18] arXiv:2008.00716 [ pdf, other] On the modular Jones polynomial Guillaume Pagel (LMPA) Subjects: Combinatorics (math.CO) [19] arXiv:2008.00722 [ pdf, ps, other] oracle convert to lowercase

[2008.00689v1] Ordering Trees by Their ABC Spectral Radii

Ordering uniform supertrees by their spectral radii

Weborder trees by their ABC spectral radii. The ordering results may indicate some research directions towards the answer of the question. In the present paper, we rstly investigate graph perturbations with respect to ABC spectral radius, and two non-trivial results are obtained. By applying the perturbations, we determine the trees with the third ... 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 … portsmouth va real property searchWebtrees 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. portsmouth va redevelopment housing authority

"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. " - Ordering trees by their abc spectral radii

Ordering trees by their abc spectral radii

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 http://files.ele-math.com/abstracts/oam-17-05-abs.pdf

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WebOct 31, 2024 · The ABC spectral radius of G is the largest eigenvalue of M(G). In the present paper, two graph perturbations with respect to ABC spectral radius are established. By applying these perturbations, the trees with the third, fourth, and fifth largest ABC spectral … WebFrom our farm to your front door. Shop our huge inventory of trees, shrubs & plants for sale. Free shipping on qualified orders. Call us today 1-888-329-0140

WebAug 3, 2024 · The 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 largest ABC spectral radii are determined. WebJul 31, 2024 · Recently, Yuan and Du [17] determined the bicyclic graphs of order with the first two maximum ABC spectral radii, which are exactly the unique two bicyclic graphs of order with maximum degree . The trees with the first few largest ABC spectral radii have been determined in [1], [15].

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. WebJan 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

WebWe 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

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} } portsmouth va rivers casinoWebOct 15, 2006 · Fig. 3. Trees T 1 , T 2 , T 3 and T 4 . 456 W. Lin, X. Guo / Linear Algebra and its Applications 418 (2006) 450–456 Theorem 4.1. When n greaterorequalslant 12, in the order of trees in T n by their largest eigenvalues, trees S 9 n , S 10 n ,S 11 n ,S 12 n and S 13 n take the 9th to 13th positions, respectively. oracle convert xmltype to stringWebMay 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. portsmouth va school board electionWebThe 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 … oracle cook county healthWebFeb 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. portsmouth va recycle scheduleWebOct 31, 2024 · Two 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... oracle coolerWebAug 1, 2010 · Ordering trees by their distance spectral radii Wenshui Lin, Yuan Zhang, Qi'an Chen, Jiwen Chen, Chi Ma, Junjie Chen Mathematics Discret. Appl. Math. 2016 5 Some graft transformations and its applications on the distance spectral radius of a graph Guanglong Yu, Huicai Jia, Hailiang Zhang, Jinlong Shu Mathematics Appl. Math. Lett. 2012 25 PDF oracle convert varchar to date