[HTML][HTML] On the -spectral radius of a graph

J Xue, H Lin, S Liu, J Shu - Linear Algebra and its Applications, 2018 - Elsevier
… on A α -spectral radius. As applications, we determine the … graph with maximum A α -spectral
radius among all connected graphs with diameter d, and determine the unique graph with …

[HTML][HTML] A note on the -spectral radius of graphs

H Lin, X Huang, J Xue - Linear Algebra and its Applications, 2018 - Elsevier
graph with maximal A α -spectral radius among all graphs … the graph with minimal A α -spectral
radius among all graphs with … extremal graphs with maximal A α -spectral radius among …

The -spectral radius for path-factors in graphs

S Zhou, Y Zhang, Z Sun - Discrete Mathematics, 2024 - Elsevier
… a graph to show that the bound on A α -spectral radius is … matching of a graph and its
adjacency spectral radius. Zhang … the distance spectral radius in a graph (and a bipartite graph) to …

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

Z Feng, W Wei - Linear Algebra and its Applications, 2022 - Elsevier
… 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. As by-products, the extremal graphs with …

On the -spectral radius of graphs with given size

H Chen, J Li, P Huang - Discrete Applied Mathematics, 2023 - Elsevier
… In this paper, we extend their result to A α -spectral radius for α ∈ [ 1 2 , 1 ) . Moreover, for
α ∈ [ 1 2 , 1 ) , we also determine the graph with maximum A α -spectral radius among graphs

The -spectral radius of trees and unicyclic graphs with given degree sequence

D Li, Y Chen, J Meng - Applied Mathematics and Computation, 2019 - Elsevier
… -spectral radius under some graphradius in G D when D is a tree degree sequence firstly.
Furthermore, we determine that the greedy unicyclic graph has the largest A α -spectral radius

The -spectral radius of graphs with a prescribed number of edges for 12≤ α≤ 1

D Li, R Qin - Linear Algebra and its Applications, 2021 - Elsevier
… , and also characterized the graph maximizing the A 1 2 -spectral radius among all graphs
with … In this paper, we extend the conclusion of them to A α -spectral radius for α ∈ [ 1 2 , 1 ] . …

Maximizing the -spectral radius of graphs with given size and diameter

P Huang, J Li, WC Shiu - Linear Algebra and its Applications, 2022 - Elsevier
graphs with size m and diameter d. In this paper, we determine the graphs with maximal A α
-spectral radius among all graphs … We call such a graph the maximal graph in G m d . For the …

The -spectral radius and perfect matchings of graphs

Y Zhao, X Huang, Z Wang - Linear Algebra and its Applications, 2021 - Elsevier
… For any S ⊆ V ( G ) , we denote by G − S the graph obtained from G by deleting S together …
of two graphs G and H. The join of G and H, denoted by G∇H, is the graph obtained from G ∪ …

Two upper bounds on the A_α-spectral radius of a connected graph

S Pirzada - Communications in Combinatorics and …, 2022 - comb-opt.azaruniv.ac.ir
… on the -spectral radius of a connected graph 1. Introduction … Meng, -spectral radius of
the second power of a graph, … Meng, The -spectral radius of trees and unicyclic graphs with …