Energy of graphs with no eigenvalue in the interval \((-1,1)\)

DOI10.1016/j.laa.2023.09.018zbMath1528.05044OpenAlexW4387107926MaRDI QIDQ6087864

Mohammad Reza Oboudi

Publication date: 16 November 2023

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

Full work available at URL: https://doi.org/10.1016/j.laa.2023.09.018

zbMATH Keywords

energy of graphsnonzero eigenvaluesnonsingular graphs

Mathematics Subject Classification ID

Graph polynomials (05C31) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18)

Cites Work

• On the third largest eigenvalue of graphs
• Spectra of graphs
• Majorization and the spectral radius of starlike trees
• Seidel energy of complete multipartite graphs
• On graphs whose energy exceeds the number of vertices
• Which graphs are determined by their spectrum?
• On the eigenvalues and spectral radius of starlike trees
• The characteristic polynomial of lexicographic product of graphs
• Universal spectra of the disjoint union of regular graphs
• A new lower bound for the energy of graphs
• On split graphs with four distinct eigenvalues
• Cospectrality of complete bipartite graphs
• Bipartite graphs with at most six non-zero eigenvalues
• On spectral radius and energy of complete multipartite graphs
• Characterization of graphs with exactly two non-negative eigenvalues
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