On the spectral radius of connected graphs

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August undefined, 2024

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 … 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

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

WebCorpus ID: 257985332; On the $A_\alpha$-spectral radius of graphs without linear forests Web5 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. rcw 13.34 shelter care

Bounds on the (Laplacian) spectral radius of 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 … 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 … rcw 11 powers of personal representative

The signless Laplacian spectral radius of graphs without …

On the Aα-spectral radius of graphs with given size and diameter

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 … 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…. rcw 11 nonintervention powersWeb6 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. … simulation fellow jobs

"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 … " - On the spectral radius of connected graphs

On the spectral radius of connected graphs

$On the $$\alpha $$ -spectral radius of unicyclic and bicyclic graphs ...$

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. Web15 de fev. de 2024 · The spectral radius of G, denoted by ρ (G), is the largest eigenvalue of A (G). When G is connected, A (G) is irreducible and by the Perron-Frobenius …

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http://ajc.maths.uq.edu.au/pdf/26/ajc_v26_p033.pdf 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 …

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 … 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 …

Web10 de abr. de 2024 · Let . ρ (S α (G)) be the spectral radius of . S ... among all connected graphs of fixed order and fixed connectivity, and. among all connected graphs of fixed … 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 …

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 …

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 … simulation election proWeb15 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 … simulation faculty development trainingWeb11 de jun. de 2024 · In this paper, we study the distance α-spectral radius of a connected graph. We consider bounds for the distance α-spectral radius, local transformations to … simulationen matheWeb1 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 … rcw 11 remove personal representativeWebBefore 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 … rcw 11 trust protectorWebIn this paper, we completely characterize the (connected) graphs and (connected) triangle-free graphs which have the maximum, the minimum and second-minimum ABC … rcw 13.34 guardianshipWebHá 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 … simulation download