The inertia and energy of the distance matrix of a connected graph

DOI10.1016/j.laa.2014.10.045zbMath1304.05093OpenAlexW2022179729MaRDI QIDQ477743

Huiqiu Lin, Xi-wen Lu, Rui-fang Liu

Publication date: 9 December 2014

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

Full work available at URL: https://doi.org/10.1016/j.laa.2014.10.045

zbMATH Keywords

inertiadistance spectral radius\(D\)-eigenvaluedistance energy

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Connectivity (05C40)

Related Items (13)

Connectivity, diameter, independence number and the distance spectral radius of graphs ⋮ Graph families with constant distance determinant ⋮ On the distance spectra of threshold graphs ⋮ Effects on distance energy of complete bipartite graphs by embedding edges ⋮ Eccentricity spectral radius of \(t\)-clique trees with given diameter ⋮ The graphs with the least distance eigenvalue at least \(-\frac{1 + \sqrt{17}}{2}\) ⋮ Inertia and distance energy of line graphs of unicyclic graphs ⋮ The distance energy of clique trees ⋮ Some results on the distance and distance signless Laplacian spectral radius of graphs and digraphs ⋮ Extremal Laplacian energy of threshold graphs ⋮ Graphs whose distance matrix has at most three negative eigenvalues ⋮ On graphs with near minimal distance energy ⋮ The multiplicity of -2 as an eigenvalue of the distance matrix of graphs

Cites Work

• The distance matrices of some graphs related to wheel graphs
• The inertia of distance matrices of some graphs
• Distance spectral radius of digraphs with given connectivity
• Distance spectral radius of trees with given matching number
• Sharp bounds on the distance spectral radius and the distance energy of graphs
• Recent results in the theory of graph spectra
• On distance matrices and Laplacians
• The inertia and energy of distance matrices of complete \(k\)-partite graphs
• Graph Energy
• The distance spectrum of the pathP_nand The First Distance Eigenvector of Connected Graphs
• The distance spectrum of a tree
• Distance spectra and distance energies of iterated line graphs of regular graphs
• On the Addressing Problem for Loop Switching
• On the nullity of line graphs of trees
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The inertia and energy of the distance matrix of a connected graph