On the spectral radius of connected graphs
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... 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.
On the spectral radius of connected graphs
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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 … 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 …
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 … 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 ]
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 … 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.
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
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 … cinemark theater pasadena texasWeb10 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 … diable bing discoverWeb1 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 … cinemark theater perkins roweWeb16 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 … cinemark theater point rustonWeb15 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 … cinemark theater rancho mirageWebBefore 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 … diable bleu by creation lamisWeb1 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 … diable carrefour