On the abc spectra radius of unicyclic graphs
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 … 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.
On the abc spectra radius of unicyclic graphs
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WebSpectral 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have appeared in the literature in the preceding ten years, most of them with proofs, and including some previously unpublished results of the author. 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.
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. Web9 de mai. de 2024 · Zheng et al. [26] gave the follo wing upper bound for the AG spectral radius of graphs with order n ≥ 2 and size m . Lemma 2.7 [26] Let G be a graph of …
http://files.ele-math.com/abstracts/oam-17-05-abs.pdf 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 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 …
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 research you need on ResearchGate green bay mission bbqflower shop in oakley ksWeb1 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] … flower shop in northlake ilWeb31 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 … green bay minor league baseballWeb17 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 … flower shop in norwood ncWebFor 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)). flower shop in norwalk ohioWebThe 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 flower shop in oak lawn