The effect on the largest eigenvalue of degree-based weighted adjacency matrix by perturbations

DOI10.1007/s40840-023-01629-5MaRDI QIDQ6186335

Jing Gao, Xue Liang Li, Ning Yang

Publication date: 9 January 2024

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

zbMATH Keywords

eigenvalueeigenvectorgraph operationweighted adjacency matrixdegree-based edge-weighttopological function-index

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Graphical indices (Wiener index, Zagreb index, Randi? index, etc.) (05C09) Chemical graph theory (05C92)

Cites Work

• Degree-based energies of graphs
• Trees with extremal spectral radius of weighted adjacency matrices among trees weighted by degree-based indices
• Some interlacing results on weighted adjacency matrices of graphs with degree-based edge-weights
• Inverse sum Indeg index and ISI matrix of graphs
• Extremal trees and unicyclic graphs with respect to spectral radius of weighted adjacency matrices with property \(P^*\)
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The effect on the largest eigenvalue of degree-based weighted adjacency matrix by perturbations