On the spectral radius of connected graphs

Web11 de jun. de 2024 · In this paper, we study the distance α-spectral radius of a connected graph. We consider bounds for the distance α-spectral radius, local transformations to … Web15 de jul. de 2024 · The Aα- spectral radius of Gis the largest eigenvalue of Aα(G). In this paper, we determine the first three largest extremal graphs in Halin graphs by their Aα- spectral radii when 12≤α<1. For 0≤α≤1, the 3-regular Halin graph alone minimizes the Aα- spectral radius for Halin graphs. Previousarticlein issue Nextarticlein issue MSC 05C50 …

On the Aα-spectral radius of graphs with given size and diameter

Web1 de jan. de 2024 · In [36], the authors determine the maximum spectral radius over n -vertex graphs which forbid all wheels. They state that “it seems difficult to determine the … Web23 de jan. de 2011 · Lower and upper bounds for the distance spectral radius of graphs and bipartite graphs, lower bounds forThe distance energy of graphs, and characterize the extremal graphs are established. For a connected graph, the distance spectral radius is the largest eigenvalue of its distance matrix, and the distance energy is defined as the … on the water hotels thailand https://akshayainfraprojects.com

The spectral radius of graphs with no intersecting odd cycles

Web1 de jul. de 2024 · So, it is natural to ask which graphs have the extremal spectral radius among all minimally k-(edge)-connected graphs for k ≥ 2. In this paper, we are … Web16 de jun. de 2024 · Naturally, for a fixed size of a minimally $k$-(edge)-connected graphs, what is the extremal spectral radius? In this paper, we determine the maximum spectral … Web1 de mar. de 2024 · Let G be a simple graph of order n and also let ρ (G) be the spectral radius of the graph G. In this paper, we prove that ρ (G) ≤ ρ 2 (G − v k) + 2 d k − 1 for … on the water in maine vacation rentals

A note on the ABC spectral radius of graphs - Taylor & Francis

Category:[PDF] On the $A_\alpha$-spectral radius of graphs without linear ...

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On the spectral radius of connected graphs

On the spectral radius of minimally 2-(edge)-connected graphs …

WebarXiv:2206.07872v1 [math.CO] 16 Jun 2024 On the spectral radius of minimally 2-(edge)-connected graphs with given size* Zhenzhen Loua, Gao Mina, Qiongxiang Huanga† aCollege of Mathematics and Systems Science, Xinjiang University,Urumqi, Xinjiang … Web1 de nov. de 2012 · A cactus is a connected graph in which any two cycles have at most one common vertex. In this article, we determine the unique graph with minimal distance spectral radius in the class of...

On the spectral radius of connected graphs

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WebIn this paper, we completely characterize the (connected) graphs and (connected) triangle-free graphs which have the maximum, the minimum and second-minimum ABC … Web1 de ago. de 2024 · For a connected graph G on k ≥ 2 vertices, by Perron-Frobenius theorem, the spectral radius ρ ( G) of A ( G) is a simple positive eigenvalue and the associated eigenvector is entry-wise positive (for details see [1]). We will refer to such an eigenvector as the Perron vector of G.

WebBefore giving the proof of Theorem1.2, we list all connected graphs with A 0-spectral radius at most 2 (see [10]): the A 0-spectral radii of H 1, H 2, H 3, H 4 and P n are less than 2; the A 0-spectral radii of H 5, H 6, H 7, H 8 and C … Web1 de ago. de 2024 · The spectral radius of a graph sometimes can give some information about the structure of graphs. For example, it is well-known [4, p. 34] that the average …

Web6 de abr. de 2024 · The \(\alpha \)-spectral radius of a connected graph G is the spectral radius of \(A_\alpha \)-matrix of G.In this paper, we discuss the methods for comparing … WebLet G = (V, E) be a finite undirected graph of order n and of size m.Let Δ and δ be the largest and the smallest degree of G, respectively.The spectral radius of G is the …

Web10 de abr. de 2024 · Let . ρ (S α (G)) be the spectral radius of . S ... among all connected graphs of fixed order and fixed connectivity, and. among all connected graphs of fixed …

WebOn the spectral radius of minimally 2- (edge)-connected graphs with given size. Lou, Zhenzhen. ; Gao, Min. ; Huang, Qiongxiang. A graph is minimally k -connected ( k … on the water magazine fishing reportWeb1 de ago. de 2004 · On the spectral radius of graphs. ☆. Let G be a simple undirected graph. For v ∈ V ( G ), the 2-degree of v is the sum of the degrees of the vertices … on the water magazine reportsWebspectral radius have attracted many interests among the mathematical literature including linear algebra and graph theory. An interesting problem in the spectral graph theory is … on the water magazine videosWebIn this note, we obtain two lower bounds for the spectral radius λ1(L(G)) of triangle-free graphs; one is in terms of the numbers of edges and vertices of graphs, and the other is in terms of degrees and average 2-degrees of vertices. We also obtain some other related results. For triangle-free graphs, the second bound is better than on the water jet ski rentalWebCorpus ID: 257985332; On the $A_\alpha$-spectral radius of graphs without linear forests on the water in maine rockport meWeb11 de abr. de 2024 · Let G be a connected graph on n vertices with e(G) distinct Q-eigenvalues. Then \(e(G)=2\) ... Ning W, Li H, Lu M (2013) On the signless Laplacian spectral radius of irregular graphs. Linear Algebra Appl 438:2280–2288. Article MathSciNet MATH Google Scholar Pirzada S (2012) An introduction to graph theory. ios full screenshotWebHá 1 dia · The minimal spectral radius with given independence number. Jinwon Choi, Jooyeon Park. In this paper, we determine the graphs which have the minimal spectral … ios full bleed