On the abc spectra radius of unicyclic graphs

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August undefined, 2024

Webmine the unique graphs such that the di erence between the maximum degree and the -spectral radius is maximum among trees, unicyclic graphs and non-bipartite graphs, respectively. 2010 Mathematics Subject Classi cation: 05C50 Keywords and Phrases: -spectral radius, adjacency matrix, sign-less Laplacian matrix, tree, unicyclic graph, … Web26 de ago. de 2016 · On Unicyclic Graphs Spectra: New Results Abstract: Let G = (V, E) be a unicyclic simple undirected graph. In this paper, we investigate the spectra of a particular class of unicyclic graphs G (q, n1) where q is the size of the unique cycle. Each vertex of the unique cycle is attached to n1 vertices.

Largest eigenvalue of a unicyclic mixed graph SpringerLink

WebFor a k-uniform hypergraph G, the ABC eigenvalues of G are deﬁned as the eigenvalues of its ABC tensor, and in particular, the ABC spectral radius of G is deﬁned as the spectral radius of its ABC tensor, denoted by ρABC(G). That is, ρABC(G) = ρ(ABC(G)). Web1 de abr. de 2024 · Download Citation On Apr 1, 2024, Yinzhen Mei and others published Extreme Sombor Spectral Radius of Unicyclic Graphs Find, read and cite all the … induction 1cuberoot+ 1cuberoot+ 1cuberootn

On large ABC spectral radii of unicyclic graphs - ScienceDirect

WebThe investigation on the spectral radius of graphs is an important topic in the theory of graph spectra, in which some early results can go back to the very beginnings ... “On the spectral radius of unicyclic graphs with perfect matchings,” Linear Algebra and Its Applications, vol. 370, pp. 237–250, 2003. Web31 de jul. de 2024 · The ABC spectral radius of a graph G is the largest eigenvalue of the ABC matrix of G, whose (u, v)-entry is d u + d v − 2 d u d v if u v ∈ E (G) and 0 … WebON THE ABC SPECTRAL RADIUS OF CACTUS GRAPHS ZHIBINDU ANDBO ZHOU∗ Abstract. Let G be a graph with vertex set V(G). Denote by d u the degree of vertex u in … induction 15kw

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On the spectral radius of unicyclic graphs with fixed diameter

WebThe spectral radius of a graph is the largest eigenvalue of its adjacency matrix and the first ⌊ g2⌋+ 3 spectral radii of unicyclic graphs in the set U g n are determined. The spectral … Web15 de jan. de 2007 · AMS classification: 05C50; 15A18 Keywords: Unicyclic graph; Spectral radius; Diameter 1. Introduction Let G = (V, E) be a simple undirected graph … induction 1500wWeb10 de out. de 2006 · The spread s(G) of a graph G is defined as s(G) = maxi,j λ i − λ j , where the maximum is taken over all pairs of eigenvalues of G. Let U(n,k) denote the set … induction 1.5l non stick pan

"Web6 de abr. de 2024 · As applications, we characterize the graphs with the maximal \alpha -spectral radius among all unicyclic and bicyclic graphs of order n with diameter d, respectively. Finally, we determine the unique graph with maximal signless Laplacian spectral radius among bicyclic graphs of order n with diameter d. " - On the abc spectra radius of unicyclic graphs

On the abc spectra radius of unicyclic graphs

$On the $$\alpha $$ -spectral radius of unicyclic and bicyclic graphs ...$

Web6 de abr. de 2024 · Furthermore, we determine that the greedy unicyclic graph has the largest Aα-spectral radius in GD when D is a unicyclic graphic sequence, where … WebThe ABC matrix of a graph G is a square matrix, where the (i,j)-entry ABCij=di+dj−2didj if there is an edge between vertices i and j in G, and ABCij=0 otherwise. The ABC spectral radius of G, denoted by ν1(G), is the largest eigenvalue of the ABC matrix of G.In this paper, we prove that for a unicyclic graph G of order n≥4, 2=ν1(Cn)≤ν1(G)≤ν1(Sn+e), …

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WebThe A α-spectral radius of trees and unicyclic graphs with given degree sequence. Authors: Dan Li. College of Mathematics and System Sciences, Xinjiang University, Urumqi, Xinjiang, PR China. ... H.Q. Lin, J. Xue, J.L. Shu, On the D α-spectra of graphs, Linear Multilinear Algebra. 10.1080/03081087.2024.1618236. Google Scholar Web1 de dez. de 2024 · On the ABC spectra radius of unicyclic graphs Linear Algebra and its Applications, Volume 596, 2024, pp. 71-81 Show abstract Research article Characteristics polynomial of normalized Laplacian for trees Applied Mathematics and Computation, Volume 271, 2015, pp. 838-844 Show abstract Research article

WebThe ABC spectral radius of G, denoted by ν 1 ( G ) , is the largest eigenvalue of the ABC matrix of G. In this paper, we prove that for a unicyclic graph G of order n ≥ 4 , 2 = ν 1 ( C n ) ≤ ν 1 ( G ) ≤ ν 1 ( S n + e ) , with equality if and only if G ≅ C n for the lower bound, and if and only if G ≅ S n + e for the upper bound. Web13 de jan. de 2024 · We first establish a lower bound on the size and spectral radius of a graph G to guarantee that G contains a ... Spectra of Graphs (Springer, New York, 2011).Google Scholar [4] Godsil, C. and Royle, G., Algebraic Graph Theory, Graduate Texts in ... ‘ On the distance spectral radius of unicyclic graphs with perfect ...

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WebThe spectral radius of unicyclic graphs has been studied by many authors (see [4,8,10,15,17]). Chang and Tian [4] determined graphs of the largest and the second largest spectral radius among all the unicyclic graphs on n vertices with perfect matching.

Web[25] Bao, Y.–H., Tan, Y.Y., Fan, Y.–Z.The Laplacian spread of unicyclic graphs. Appl. Math. Lett., 22 ( 2009 ), 1011–1015. Google Scholar [26] Bapat, R.B., Lal, A.K., Pati, S.On algebraic connectivity of graphs with at most two points of articulation in each block. Linear Multilinear Algebra, 60 ( 2012 ), 415–432. Google Scholar induction 12inch fry panWeb1 de jul. de 2024 · The ABC spectral radius of a graph G is the largest eigenvalue of the ABC matrix of G, whose (u,v)-entry is du+dv−2dudv if uv∈E (G) and 0 otherwise for … induction 1800w boil induction 1 k or 1-kWeb1 de jul. de 2024 · The ABC spectral radius of G, denoted by ν 1 (G), is the largest eigenvalue of the ABC matrix of G. In this paper, we prove that for a unicyclic graph G of … induction 18/10WebAbstract. Recently, the extremal problem of the spectral radius in the class of complements of trees, unicyclic graphs, bicyclic graphs and tricyclic graphs had been studied widely. In this paper, we extend the largest ordering of Aα -spectral radius among all complements of bicyclic and tricyclic graphs with n vertices, respectively. induction 1cup espresso potWebUnicyclic graphs are discussed in the context of graph orderings related to eigenvalues. Several theorems involving lexicographical ordering by spectral moments as well as the … induction 1cm dilatedWeb10 de mai. de 2024 · In this section, we study the AG spectral radius of unicyclic graphs. ... On the ABC spectra radius of unicyclic graphs. Linear Algebra. Appl., 596:71–81, … induction 1jj+1