Ordering trees by their abc 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 ... Webwith 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
Ordering trees by their abc spectral radii
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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 , … 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
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]. 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
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. 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 …
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
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 … bitumen hot sealing compound grade a priceWebApr 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 … bitumen impregnated board south africaWebOct 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... bitumen impregnated building paperWebThe 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 ... data world information systems pvt ltddataworld incWebOct 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. bitumen in bosch dishwasherWebMar 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 . data world makeover monday