Spectral properties of Sombor matrix of threshold graphs

DOI10.1051/ro/2024111MaRDI QIDQ6593958

Zahid Raza, Fozia Bashir Farooq, Bilal Ahmad Rather, Muhammad Imran

Publication date: 27 August 2024

Published in: RAIRO. Operations Research (Search for Journal in Brave)

zbMATH Keywords

adjacency matrixthreshold graphsquotient matrixSombor energySombor matrixSombor eigenvalues

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10) Graphical indices (Wiener index, Zagreb index, Randi? index, etc.) (05C09) Chemical graph theory (05C92)

Cites Work

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• Eigenvalue location for chain graphs
• Eigenvalues and energy in threshold graphs
• The Laplacian energy of threshold graphs and majorization
• Beyond graph energy: norms of graphs and matrices
• Connected graphs of fixed order and size with maximal index: some spectral bounds
• A relation between a vertex-degree-based topological index and its energy
• On the eccentricity spectra of threshold graphs
• Sombor index of chemical graphs
• Chain graphs with simple Laplacian eigenvalues and their Laplacian dynamics
• An extended eigenvalue-free interval for the eccentricity matrix of threshold graphs
• Graph Energy
• The spread of a matrix
• Eigenvalue-free intervals of distance matrices of threshold and chain graphs
• A Note on Energy and Sombor Energy of Graphs
• Relating graph energy and Sombor index
• The energy and Sombor index of graphs
• On equitable partition of matrices and its applications
• On the spectral radius, energy and Estrada index of the Sombor matrix of graphs
• On the Sombor index of graphs
• Relating Energy and Sombor Energy

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