On the abc spectra radius of unicyclic graphs

WebAbstract. 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 … Web10 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 …

Arithmetic-Geometric spectral radii of Unicyclic graphs

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 ... 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. … chinese cookbooks reviews https://exclusive77.com

On large ABC spectral radii of unicyclic graphs

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 … 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, … 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. chinese cookbooks free downloads

Unicyclic graphs of minimal spectral radius SpringerLink

Category:On the ABC spectra radius of unicyclic graphs - Researcher An …

Tags:On the abc spectra radius of unicyclic graphs

On the abc spectra radius of unicyclic graphs

On the ABC spectra radius of unicyclic graphs - ScienceDirect

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. 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 …

On the abc spectra radius of unicyclic graphs

Did you know?

Web17 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 … Web15 de abr. de 2024 · The research about ABC spectral radius (largest eigenvalue of ABC matrix) of graphs is rather active in recent years. In this paper, we characterize the …

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 … Web11 de jan. de 2024 · In this work, we investigate the extremal values on arithmetic–geometric spectral radius of n-vertex unicyclic graphs and characterize the …

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 … WebIn this paper, we determine the unicyclic graphs of order n 5 with the smallest and first four largest arithmetic-geometric spectral radii. 2 Lemmas We need the following lemmas. Lemma 2.1 [10] Let M ba a nonnegative matrix of order n. Let x be a positive column vector of dimension n, i.e. every entry of x is positive.

http://files.ele-math.com/abstracts/oam-17-05-abs.pdf

WebIn the article, we consider the problem of characterization of connected graphs having exactly three distinct Laplacian ABC-eigenvalues. We solve this problem for bipartite graphs, multipartite graphs, unicyclic graphs, regular graphs and prove the non-existence of such graphs with diameter greater than 2. grand forks gay barWeb1 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] … chinese cook dogs aliveWeb31 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… chinese cookbooks for beginnersWebThe A α-spectral radius of trees and unicyclic graphs with given degree sequence. Authors: Dan Li. College of Mathematics and System Sciences, Xinjiang University, … grand forks gis mappingWeb26 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. chinese cookersWeb15 de jan. de 2013 · It was conjectured by Li and Feng in 1979 that the unicyclic graph formed by a cycle of order g linking to an endvertex of a path of length k minimizes the … chinese cooker partsWebThe graphs which maximize and minimize respectively the largest eigenvalue over all unicyclic mixed graphs U on n vertices are determined. The unicyclic mixed graphs U with the largest eigenvalue λ 1 ( U )= n or λ 1 ( U )ε ( n,n +1) are characterized. Download to read the full article text References chinese cookbooks uk