On the Dα-spectra of graphs

DOI10.1080/03081087.2019.1618236zbMath1461.05130OpenAlexW2946782870MaRDI QIDQ5858708

Jie Xue, Huiqiu Lin, Jin-Long Shu

Publication date: 14 April 2021

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2019.1618236

zbMATH Keywords

cospectralityextremal graph\(D_\alpha\)-eigenvalue

Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Related Items (8)

On the smallest eigenvalue of D_α-matrix of connected graphs ⋮ On spectral spread of generalized distance matrix of a graph ⋮ Bounds on the \(\alpha \)-distance energy and \(\alpha \)-distance Estrada index of graphs ⋮ On generalized distance spectral radius and generalized distance energy of graphs ⋮ On Schatten \(p\)-norm of the distance matrices of graphs ⋮ Distance signless Laplacian spectrum of a graph ⋮ Unnamed Item ⋮ On the minimal \(\mathcal{D}_\alpha -\) spectral radius of graphs subject to fixed connectivity

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Characterization of extremal graphs from distance signless Laplacian eigenvalues
• The effect of graft transformations on distance signless Laplacian spectral radius
• Proximity, remoteness and distance eigenvalues of a graph
• Remoteness and distance eigenvalues of a graph
• Two Laplacians for the distance matrix of a graph
• The spectrum and the signless Laplacian spectrum of coronae
• Proof of conjectures on the distance signless Laplacian eigenvalues of graphs
• The graphs with exactly two distance eigenvalues different from \(-1\) and \(-3\)
• Graph functions maximized on a path
• Developments on spectral characterizations of graphs
• Commutativity and spectra of Hermitian matrices
• Which graphs are determined by their spectrum?
• Graphs determined by their \(A_\alpha\)-spectra
• Graphs with at most three distance eigenvalues different from \(-1\) and \(-2\)
• On the \(A_\alpha\)-spectra of graphs
• The Schur complement and its applications
• On the second largest eigenvalue of the signless Laplacian
• The complements of path and cycle are determined by their distance (signless) Laplacian spectra
• Distance and distance signless Laplacian spread of connected graphs
• Distance spectra of graphs: a survey
• Proof for four conjectures about the distance Laplacian and distance signless Laplacian eigenvalues of a graph
• On distance integral graphs
• On the least distance eigenvalue and its applications on the distance spread
• On the distance signless Laplacian of a graph
• On the distance signless Laplacian spectral radius of graphs
• Bounds on the distance signless Laplacian spectral radius in terms of clique number
• Connectivity and minimal distance spectral radius of graphs
• The distance spectrum of the pathP_nand The First Distance Eigenvector of Connected Graphs
• Distance spectral radius of trees with fixed maximum degree
• On spectral radius of the distance matrix
• Merging the A-and Q-spectral theories

This page was built for publication: On the D_α-spectra of graphs