On the abc spectra radius of unicyclic graphs
WebA unicyclic graph is a simple connected graph in which the number of edges is equal to the number of vertices. In this paper, firstly, we give the Aα-characteristic polynomial of the coalescent graph, and Aα-eigenvalues of the star graph for the application. 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 …
On the abc spectra radius of unicyclic graphs
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Web3 de mai. de 2024 · More results on the spectral radius of unicyclic graphs can be found in [5 ... Hong, Y: On the spectra of unicyclic graphs. J. East China Norm. Univ. Natur. … http://files.ele-math.com/abstracts/oam-17-05-abs.pdf
Web1 de ago. de 2024 · ABC spectral radius. ABC energy. 1. Introduction. Let G = ( V, E) be a simple graph with n vertices, m edges, whose adjacency matrix is A ( G). For v ∈ V, the … 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 …
Web9 de mai. de 2024 · The arithmetic-geometric matrix Aag(G) of a graph G is a square matrix, where the (i, j)-entry is equal to di +d j 2 √ did j if the vertices vi and v j are adjacent, and … Web1 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 …
WebThe weighted adjacency matrix $A_{f}(G)$ of a simple graph $G=(V,E)$ is the $ V \\times V $ matrix whose $ij$-entry equals $f(d_{i},d_j)$, where $f(x,y)$ is a ...
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. phoenix city toursWebThe 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. how do you cross out textWeb1 de nov. de 2024 · [1] Feng L and Yu G 2009 The Signless Laplacian Spectral Radius of Unicyclic Graphs with Graph Constraints Kyungpook Math. J. 49 123-31 Crossref; Google Scholar [2] Yu G, Wu Y and Shu J 2011 Signless Laplacian spectral radii of graphs with given chromatic number Linear Algebra Appl. 435 1813-22 Crossref; Google Scholar [3] … phoenix city water reportWeb31 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 … phoenix civil limitedWebThe 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 phoenix city zipWeb17 de jun. de 2024 · On the spectral radius of unicyclic and bicyclic graphs with a fixed diameter. F.F. Wang, H.Y. Shan, Y.Y. Zhai. The -spectral radius of a connected graph … phoenix civic center oregonWebSpectral Radius of Graphs provides a thorough overview of important results on the spectral radius of adjacency matrix of graphs that have appeared in the literature in the preceding ten years, most of them with proofs, and including some previously unpublished results of the author. phoenix civil \u0026 earthmoving pty ltd