Ordering trees by their abc spectral radii

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August undefined, 2024

WebMay 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. WebAug 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

ON THE ABC SPECTRAL RADIUS OF CACTUS GRAPHS

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. 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. chippa united news

Ordering trees by their ABC spectral radii - infona.pl

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 , … 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 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 … chippa united last 5 matches

Ordering trees by their ABC spectral radii - Semantic Scholar

Ordering trees by the spectral radius of Laplacian - Project Euclid

WebThe trees with maximum and minimum ABC spectral radius are characterized. Also, in the class of trees on n vertices, we obtain the trees having first four values of ABC spectral radius and subsequently derive a better upper bound. Keywords tree, ABC matrix, ABC spectral radius, nonnegative matrix Full Text: PDF 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 . chippa united ticketsWebJan 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 chippa united new signings

"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 ... " - Ordering trees by their abc spectral radii

Ordering trees by their abc spectral radii

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 … 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} }

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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. 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.

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 WebApr 20, 2024 · A supertree is a connected and acyclic hypergraph. For a hypergraph H, the maximal modulus of the eigenvalues of its adjacency tensor is called the spectral radius of H. By applying the operation of moving edges on hypergraphs and the weighted incidence matrix method, we determine the ninth and the tenth k-uniform supertrees with the largest …

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. 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 …

WebOn the spectral radii of trees, Journal of East China Normal University (Natural Science), 3: 22-28 (2004)] determined the ﬁrst seven trees of order n with the smallest spectral radius. In this paper, we extend this ordering by determining the trees with the eighth to the tenth smallest spectral radius among all trees withn vertices.

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 … chippa united transfermarktWebA. 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 chippa united vs chiefs youtubeWebFeb 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. grant writing smart goalsWebwith 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 grant writing sofeware demoWebOct 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. chippa united - sekhukhune unitedWebOct 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... chippa united news todayWebOrdering 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] chippa united - ts galaxy