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On the spectral radius of connected graphs

Web23 de mai. de 2024 · On the [Math Processing Error] spectral radius of strongly connected digraphs Weige Xi, Ligong Wang Let [Math Processing Error] be a digraph with adjacency matrix [Math Processing Error]. Let [Math Processing Error] be the diagonal matrix with outdegrees of vertices of [Math Processing Error]. 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 distance $α$-spectral radius of a connected graph

Web15 de dez. de 2024 · On the Aα-spectral radius of connected graphs A. Alhevaz, M. Baghipur, H. A. Ganie, K. Das Mathematics Ars Mathematica Contemporanea 2024 For a simple graph G , the generalized adjacency matrix A α ( G ) is defined as A α ( G ) = αD ( G ) + (1 − α ) A ( G ) , α ∈ [0 , 1] , where A ( G ) is the adjacency matrix and D ( G ) is 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 … black and blue cocktail https://theresalesolution.com

A bound on the spectral radius of graphs - ScienceDirect

Webspectral radius have attracted many interests among the mathematical literature including linear algebra and graph theory. An interesting problem in the spectral graph theory is … 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 … Web15 de jun. de 2024 · the maximal spectral radius among all the minimally 2-(edge)-connected graphs [5]. Fan, Goryainov and Lin in 2024 proved that K 3 , n − 3 has the … davao city community

The spectral radius of graphs with no odd wheels - ScienceDirect

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

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On the spectral radius of connected graphs

On the distance α -spectral radius of a connected graph

Web1 de abr. de 2024 · O [12] obtained a sharp lower bound of the spectral radius of a connected graph G to guarantee that G has a perfect matching. Very recently, Kim et … 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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Web6 de abr. de 2024 · In this paper, we discuss the methods for comparing \ (\alpha \)-spectral radius of graphs. As applications, we characterize the graphs with the maximal \ (\alpha \)-spectral radius... Web15 de fev. de 2024 · The spectral radius of G, denoted by ρ (G), is the largest eigenvalue of A (G). When G is connected, A (G) is irreducible and by the Perron-Frobenius …

WebOn Distance Spectral Radius and Distance Energy of Graphs. Bo Zhou, Aleksandar Ilić. Mathematics, Computer Science. 2010. TLDR. 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. 79. Web1 de ago. de 2024 · One can easily see that the A α -spectral radius is strictly increasing if adding an edge for a connected graph. If N P ( v) ≤ 2, then we can add an edge …

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 … 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 …

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 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 … black and blue coatWeb11 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. davao city comelec officeWeb9 de abr. de 2024 · On the spectral radius of block graphs with a given dissociation number. Joyentanuj Das, Sumit Mohanty. Mathematics. 2024. A connected graph is called a block graph if each of its blocks is a complete graph. Let Bl ( k , ϕ ) be the class of block graph on k vertices with given dissociation number ϕ . In this article, we…. davao city cheap hotels innsblack and blue cohosh homeopathicWebLet 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 … black and blue cohosh dosageWeb1 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 … black and blue cohosh teaWeb1 de set. de 1988 · He showed that the spectral radius p (A) of A satisfies p (A) < ( - 1 + 1 + 8m )/2. Equality occurs if and only if m = ( 2 ) and G is a disjoint union of the complete … black and blue cohosh drops