On the spectral radius of connected graphs
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. … 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 …
On the spectral radius of connected graphs
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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...
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 … 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.
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…. Web1 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 …
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 …
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… norelco bodygroom replacementWeb1 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 … how to remove hillarys perfect fit blindsWeb21 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 … how to remove hijacking search engineWeb1 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 … how to remove high ping robloxWeb1 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 … how to remove hijackers on client\\u0027s listingWeb6 de abr. de 2024 · In this paper, we discuss the methods for comparing \ (\alpha \)-spectral radius of graphs. As applications, we characterize the graphs with the maximal \ (\alpha \)-spectral radius... how to remove highway paint from carWeb6 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. … how to remove hindi us keyboard in windows 11