On the spectral radius of connected graphs

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August undefined, 2024

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 … 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 …

On the spectral radius of minimally 2-(edge)-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 … 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 … fit3 back camera

On the distance $α$-spectral radius of a connected graph

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 than 2; the A 0-spectral radii of H 5, H 6, H 7, H 8 and C … 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 … 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 … fit3sixty

The spectral radius of triangle-free graphs

On the $\alpha$-spectral radius of graphs Request PDF

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 … 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… can eyeliner be used on lipsWeb1 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. can eyeliner come out in your snot

"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... " - On the spectral radius of connected graphs

On the spectral radius of connected graphs

On Distance Spectral Radius and Distance Energy of Graphs

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 out. de 2024 · In this paper, we determine the graph having the maximum A α-spectral radius for α ∈ [1 2, 1) among all connected graphs of size m and diameter (at least) d. …

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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 … 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 …

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. 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 …

Web1 de jan. de 2005 · Liu et al. [8] showed that K k n is the unique graph having the largest spectral radius in all the connected graphs with n vertices and k cut edges, where K k n is a graph obtained by... 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 …

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 … can eyeliner cause headachesWebIn this paper, we completely characterize the (connected) graphs and (connected) triangle-free graphs which have the maximum, the minimum and second-minimum ABC … fit 3d printing classWeb5 de abr. de 2024 · As well known, the spectral radius is not larger than the maximum degree in a graph. It is interesting to study the difference between maximum degree and spectral radius in an irregular graph. Let G be a connected irregular graph on n vertices and m edges, and with maximum degree \Delta, minimum degree \delta and diameter D. can eyeliner cause eye infectionsWeb23 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 … can eyeliner cause eye irritationWeb1 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 … fit3d visualize a healthier youWebHá 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 … fit4000a4kn600/nd + uqram600Web21 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 … fit 3 car seats