On the eccentricity energy and eccentricity spectral radius of graphs with odd diameter

DOI10.1051/ro/2023168OpenAlexW4387871902MaRDI QIDQ6181253

Leshi Qiu, Jianping Li, Jianbin Zhang

Publication date: 22 January 2024

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

Full work available at URL: https://doi.org/10.1051/ro/2023168

zbMATH Keywords

weighted grapheccentricity matrixeccentricity energyeccentricity spectral radius

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Signed and weighted graphs (05C22)

Cites Work

• Spectra of graphs
• The anti-adjacency matrix of a graph: eccentricity matrix
• Eccentricity energy change of complete multipartite graphs due to edge deletion
• Spectral determination of graphs with one positive anti-adjacency eigenvalue
• On the eccentricity spectra of complete multipartite graphs
• On the eccentricity matrices of trees: inertia and spectral symmetry
• Spectral properties of the eccentricity matrix of graphs
• Solutions for two conjectures on the eigenvalues of the eccentricity matrix, and beyond
• Spectra of eccentricity matrices of graphs
• Energy and inertia of the eccentricity matrix of coalescence of graphs
• On the largest and least eigenvalues of eccentricity matrix of trees
• Distance spectra of graphs: a survey
• Graph energy based on the eccentricity matrix
• Characterizing the extremal graphs with respect to the eccentricity spectral radius, and beyond
• On the spectral radius and the energy of eccentricity matrices of graphs
• On the least eccentricity eigenvalue of graphs
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