Some spectral inequalities for connected bipartite graphs with maximum \(A_\alpha\)-index
type: Item
instance of: scholarly article
title: Some spectral inequalities for connected bipartite graphs with maximum \(A_\alpha\)-index
zbMATH Open document ID: 1448.05131
author: Shuchao Li
author: Wanting Sun
published in: Discrete Applied Mathematics
publication date: 2020-10-14T00:00:00Z
Mathematics Subject Classification ID: 05C50
Mathematics Subject Classification ID: 05C40
zbMATH DE Number: 7260822
zbMATH Keywords: \( A_\alpha\)-index
zbMATH Keywords: double nested graph
zbMATH Keywords: spectral radius
zbMATH Keywords: eigenvector
describes a project that uses: Mathematica
MaRDI profile type: Publication
full work available at URL: j.dam.2020.08.004
OpenAlex ID: W3080391068
cites work: Sharp spectral inequalities for connected bipartite graphs with maximal \(Q\)-index
cites work: On bounds for the index of double nested graphs
cites work: Connected graphs of fixed order and size with maximal \(Q\)-index: some spectral bounds
cites work: Variable neighborhood search for extremal graphs. 16. Some conjectures related to the largest eigenvalue of a graph
cites work: On the first eigenvalue of bipartite graphs
cites work: Spectra of graphs
cites work: Q3739148
cites work: On the second largest \(A_{\alpha}\)-eigenvalues of graphs
cites work: Q3809825
cites work: Eigenvalue bounds for the signless laplacian
cites work: A characterization of the smallest eigenvalue of a graph
cites work: The maximal eigenvalue of 0-1 matrices with prescribed number of ones
cites work: On the \(\alpha \)-spectral radius of uniform hypergraphs
cites work: The Nordhaus-Gaddum type inequalities of \(A_\alpha \)-matrix
cites work: The \(A_\alpha \)-spectral radius of trees and unicyclic graphs with given degree sequence
cites work: Q5215566
cites work: The multiplicity of an \(A_\alpha \)-eigenvalue: a unified approach for mixed graphs and complex unit gain graphs
cites work: A note on the \(A_{\alpha}\)-spectral radius of graphs
cites work: Q5331504
cites work: Q4039989
cites work: Merging the A-and Q-spectral theories
cites work: On the \(A_{\alpha}\)-spectra of trees
cites work: A note on the positive semidefiniteness of \(A_{\alpha}(G)\)
cites work: On the \(\alpha\)-index of graphs with pendent paths
cites work: A note on connected bipartite graphs of fixed order and size with maximal index
cites work: On the maximal index of graphs with a prescribed number of edges
cites work: Connected graphs of fixed order and size with maximal index: some spectral bounds
cites work: Q3594054
cites work: Bounds for the largest and the smallest \(A_\alpha\) eigenvalues of a graph in terms of vertex degrees
cites work: On the \(A_\alpha\)-spectral radius of a graph
cites work: On the Laplacian spectral radius of bipartite graphs with fixed order and size
DOI: 10.1016/J.DAM.2020.08.004
description: scientific article; zbMATH DE number 7260822