Ordering trees by their abc spectral radii

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August undefined, 2024

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. 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.

Arithmetic-geometric matrix of graphs and its applications

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} } 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. date and learning objective

Extremal arithmetic–geometric spectral radius of unicyclic

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. 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 … 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] date and location of super bowl

Ordering Trees by Their Spectral Radii - Springer

On extremality of ABC spectral radius of a tree - ScienceDirect

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... 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]. date and location of super bowl 2020WebApr 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 … date and localdate difference in java

"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 " - Ordering trees by their abc spectral radii

Ordering trees by their abc spectral radii

Spectral radius ordering of starlike trees - Taylor & Francis

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 … 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

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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. 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

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 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.

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 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 , …

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...

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. bitwarden secure notesWebFrom 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 date and location of super bowl 2022WebWe 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 bitwarden secure storagehttp://files.ele-math.com/abstracts/oam-17-05-abs.pdf date and list of album release 2018WebA. 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 date and liveWebThe 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 ... date and location publishedWebMar 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 . bitwarden secure share