On the spectral radius of connected graphs

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August undefined, 2024

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 … 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 …

Some spectral inequalities for connected bipartite graphs with …

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... 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 … free fire india ban

The spectral radius of triangle-free graphs

WebIn this paper, we completely characterize the (connected) graphs and (connected) triangle-free graphs which have the maximum, the minimum and second-minimum ABC … 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 … Web30 de nov. de 1985 · Brualdi and Solheid [5] considered the maximal spectral radius of connected graphs of order n and size m = n + k, where k ≥ 0. If 0 ≤ k ≤ 5 and n is sufficiently large, it was proved that... blow up football run through

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The generalized adjacency-distance matrix of connected graphs

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 … WebIn 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 free fire in onlineWeb6 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. blow up foam mattress

"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

On the spectral radius of connected graphs

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

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 … WebCorpus ID: 257985332; On the $A_\alpha$-spectral radius of graphs without linear forests

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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 … 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 …

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 … Web9 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….

Web11 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. 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 …

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 …

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 … blow up floating dockWeb15 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… blow up film youtubeWebHá 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 ] free fire inicioWeb1 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 … blow up football goalWeb15 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 … free fire in ld playerWeb1 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 … blow up for saleWeb1 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 … free fire in poki