On the abc spectra radius of unicyclic graphs
WebUnicyclic graphs are discussed in the context of graph orderings related to eigenvalues. Several theorems involving lexicographical ordering by spectral moments as well as the …
On the abc spectra radius of unicyclic graphs
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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 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.
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. 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 ...
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 … Web15 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 spectral radius of all unicyclic graphs of order g + k and girth g. In 1987, Cao proved that this conjecture is true for k ≥ g ( g − 2)/8 and false for k = 2 and sufficiently large g.
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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 … m51 hubble classificationWeb15 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 … m51 reliance digitalWeb15 de dez. de 2024 · The A α-spectral radius of unicyclic graphs. The special unicyclic graph U D * has been introduced by Zhang [14]. For a given nonincreasing unicyclic … m 50 caliber machine gunWebA 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. m50 toll price irelandWebThe 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), … m524 allure bridalWebThe 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 costco deli meatsWeb26 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. m522 pill percocet