On the abc spectra radius of unicyclic graphs

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August undefined, 2024

Web1 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] … 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.

OnABCspectralradiusofuniformhypergraphs

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 … 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. can morbid obesity cause incontinence

Extremal spectral radius of weighted adjacency matrices of bicyclic graphs

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 … 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 … Web[25] Bao, Y.–H., Tan, Y.Y., Fan, Y.–Z.The Laplacian spread of unicyclic graphs. Appl. Math. Lett., 22 ( 2009 ), 1011–1015. Google Scholar [26] Bapat, R.B., Lal, A.K., Pati, S.On algebraic connectivity of graphs with at most two points of articulation in each block. Linear Multilinear Algebra, 60 ( 2012 ), 415–432. Google Scholar can mordenkainen\\u0027s faithful hound move

Bounds on the ABC spectral radius and ABC energy of …

The maximal geometric-arithmetic energy of trees with at most …

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 dez. de 2024 · On the ABC spectra radius of unicyclic graphs Linear Algebra and its Applications, Volume 596, 2024, pp. 71-81 Show abstract Research article Characteristics polynomial of normalized Laplacian for trees Applied Mathematics and Computation, Volume 271, 2015, pp. 838-844 Show abstract Research article can mooshrooms breedWebThe 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), … can mooshrooms eat grass

"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. " - On the abc spectra radius of unicyclic graphs

On the abc spectra radius of unicyclic graphs

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 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 …

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Web15 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 … 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 …

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 … 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.

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. WebFor 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)).

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Web10 de mai. de 2024 · In this section, we study the AG spectral radius of unicyclic graphs. ... On the ABC spectra radius of unicyclic graphs. Linear Algebra. Appl., 596:71–81, … can mordenkainen\u0027s faithful hound moveWeb15 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 … can morbid obesity cause lymphedemaWebAbstract. 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 widely. In this paper, we extend the largest ordering of Aα -spectral radius among all complements of bicyclic and tricyclic graphs with n vertices, respectively. fix graphic ramWeb13 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 ... fix graphics driversWebThe 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 … fix graphic card driverWeb24 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" ]. fix gravenberch zum fc bayernWeb3 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. … fix graphics ram