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
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WebOct 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... 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
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} } 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.
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
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]
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 ... jay smith dermatologist montgomery alWebOct 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. jay smith denver obituaryWebtrees 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. jay smitherman mdWebApr 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 … low time pilot jobs floridaWebWe 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 low time investment businessWebAug 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 jay smith dentist atlantaWebwith 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 jay smith facebook new york