On the spectral radius of connected graphs

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 … 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 …

Some spectral inequalities for connected bipartite graphs with …

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 … 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… philippine airlines baggage allowance weight https://group4materials.com

A note on the A -spectral radius of graphs - arXiv

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 … 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 … WebHá 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 ] how do you attach live plants to driftwood

Bounds on the (Laplacian) spectral radius of graphs

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On the spectral radius of connected graphs

The generalized adjacency-distance matrix of connected graphs

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 … 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 …

On the spectral radius of connected graphs

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Web21 de abr. de 2024 · A connected graph G is said to be k-connected if it has more than k vertices and remains connected whenever fewer than k vertices are deleted. In this … 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.

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... 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 …

WebCorpus ID: 257985332; On the $A_\alpha$-spectral radius of graphs without linear forests 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 set. de 1988 · He showed that the spectral radius p (A) of A satisfies p (A) &lt; ( - 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 … philippians 4:8 new american standardWeb1 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 … philippine academy of aesthetic surgeryWebIn 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 how do you attach music to a videoWeb6 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. … philippine biodiversity pdfWebWe 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 … how do you attach new yarn when crochetingWeb9 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…. philippine anti cybercrime lawWebIn this paper, we completely characterize the (connected) graphs and (connected) triangle-free graphs which have the maximum, the minimum and second-minimum ABC … how do you attach posts to your deck