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On the spectral radius of connected graphs

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 out. de 2010 · Perfect matching and distance spectral radius in graphs and bipartite graphs. ... Drury and Lin [9] characterized all connected graphs with distance energy in …

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

Web6 de abr. de 2024 · As early as 1985, Brualdi and Hoffman Brualdi and Hoffman ( 1985) investigated the maximal spectral radius of the adjacency matrix of a graph in the set of all graphs with a given number of vertices and edges. Their work was followed by other people, in the connected graph case as well as in the general case. WebWe give upper bounds for -spectral radius for unicyclic graphs Gwith maximum degree 2, connected irregular graphs with given max-imum degree and and some other graph parameters, and graphs with given domination number, respectively. We determine the unique tree with second maximum -spectral radius among trees, and the unique tree … dffoo selphie https://paulbuckmaster.com

Some spectral inequalities for connected bipartite graphs with …

Web15 de abr. de 2007 · Some sharp bounds are obtained for the (Laplacian) spectral radii of connected graphs. As consequences, some (sharp) upper bounds of the Nordhaus–Gaddum type are also obtained for the sum of (Laplacian) spectral radii of a connected graph and its connected complement. AMS classification 05C50 15A42 … 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]. 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... chur florentini

(PDF) On spectral radius of the distance matrix - ResearchGate

Category:The signless Laplacian spectral radius of graphs without …

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On the spectral radius of connected graphs

On the $A_α$ spectral radius of strongly connected digraphs

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 … Web29 de jan. de 2024 · For a connected graph and , the distance -spectral radius of is the spectral radius of the matrix defined as , where is a diagonal matrix of vertex …

On the spectral radius of connected graphs

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WebCorpus ID: 257985332; On the $A_\alpha$-spectral radius of graphs without linear forests Web6 de abr. de 2024 · 题目： The signless Laplacian spectral radius of graphs without intersecting odd cycles. 时间： 2024年4月10日（周一），14:45-16:30. 地点： 1C207. …

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. 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…

WebHá 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 … Web1 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 …

Web10 de jan. de 2024 · [Show full abstract] bounds for the distance α-spectral radius, especially for graphs that are not transmission regular, propose local graft …

WebThe distance Laplacian matrix of a connected graph G is defined as L(G)=Tr(G)−D(G), where Tr(G) is the diagonal matrix of the vertex transmissions in G and D(G) is the distance matrix of G. The la... chur flightsWebLet 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 … chur flimsWeb1 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... df footWebHá 1 dia · [Submitted on 13 Apr 2024] The minimal spectral radius with given independence number Jinwon Choi, Jooyeon Park In this paper, we determine the graphs which have the minimal spectral radius among all the connected graphs of order and the independence number Submission history From: Jinwon Choi [ view email ] chur foxtrailWebOn 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. dffoo team compsWeb15 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 … chur friedhofhttp://ajc.maths.uq.edu.au/pdf/26/ajc_v26_p033.pdf chur food festival