On the abc spectra radius of unicyclic graphs

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 … 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 …

OnABCspectralradiusofuniformhypergraphs

Web1 de mar. de 2024 · Request PDF On the ABC spectra radius of unicyclic graphs The ABC matrix of a graph G is a square matrix, where the (i,j)-entry ABCij=di+dj−2didj if … 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. how to set printer in sap https://alicrystals.com

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

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have appeared in the literature in the preceding ten years, most of them with proofs, and including some previously unpublished results of the author. Web24 de mar. de 2024 · The largest absolute value of a graph's spectrum is known as its spectral radius . The spectrum of a graph may be computed in the Wolfram Language using Eigenvalues [ AdjacencyMatrix [ g ]]. Precomputed spectra for many named graphs can be obtained using GraphData [ graph , "Spectrum" ]. 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), … noteexpress ne ref

Unicyclic graphs of minimal spectral radius SpringerLink

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On the abc spectra radius of unicyclic graphs

The Aα-spectral radius of complements of bicyclic and tricyclic …

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

On the abc spectra radius of unicyclic graphs

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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 … 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.

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

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 … 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. …

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 · Furthermore, we determine that the greedy unicyclic graph has the largest Aα-spectral radius in GD when D is a unicyclic graphic sequence, where … how to set printer marginsWebThe 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 how to set printer in tally erp 9Web9 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 … noteexpress office2021WebON 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 G. The ABC matrix of G, proposed by Estrada, is the matrix (ABC uv) u,v∈V(G),whereABC uv = du+dv−2 dudv if u and v are adjacent, and 0 otherwise. The ABC spectral radius of G … noteexpress show menoteexpress 下载全文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. how to set printer margins in windows 10Web15 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 … noteexpress unable to open database file