Ordering trees by their abc spectral radii
WebOct 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. 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.
Ordering trees by their abc spectral radii
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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 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 ...
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 … 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.
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 ... http://files.ele-math.com/abstracts/oam-17-05-abs.pdf
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 …
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. literally spellingWebWe 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 importance of human capital development pdfWebJan 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 importance of human activitiesWebFrom 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 literally stanWebDOI: 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} } literally speakingWebJul 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]. literally square rapid dryerWebApr 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 … importance of human anatomy and physiology