The inertia and energy of distance matrices of complete \(k\)-partite graphs

DOI10.1016/j.laa.2014.02.030zbMath1286.05103OpenAlexW1987220012MaRDI QIDQ2448231

Xiao-Ling Zhang

Publication date: 30 April 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.2014.02.030

zbMATH Keywords

inertiacomplete \(k\)-partite graph\(D\)-eigenvalue\(D\)-energy

Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Applications of graph theory (05C90) Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items

Connectivity, diameter, independence number and the distance spectral radius of graphs ⋮ Effects on distance energy of complete bipartite graphs by embedding edges ⋮ The distance signatures of the incidence graphs of affine resolvable designs ⋮ Distance between distance spectra of graphs ⋮ The inertia and energy of the distance matrix of a connected graph ⋮ Proof of a conjecture on distance energy change of complete multipartite graph due to edge deletion ⋮ On the change of distance energy of complete bipartite graph due to edge deletion ⋮ A shorter proof of the distance energy of complete multipartite graphs ⋮ Graphs whose distance matrix has at most three negative eigenvalues ⋮ On graphs with near minimal distance energy ⋮ On the distance spectrum of distance regular graphs

Cites Work

• The distance matrices of some graphs related to wheel graphs
• The inertia of distance matrices of some graphs
• Recent results in the theory of graph spectra
• On distance matrices and Laplacians
• On the distance spectrum of graphs
• Graph Energy
• On the Addressing Problem for Loop Switching
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