Eigenvalues of a \(H\)-generalized join graph operation constrained by vertex subsets

DOI10.1016/j.laa.2012.12.004zbMath1262.05097arXiv1205.1752OpenAlexW1977959550MaRDI QIDQ1947090

María Robbiano, Enide A. Martins, Oscar Rojo, Domingos Moreira Cardoso

Publication date: 12 April 2013

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

Full work available at URL: https://arxiv.org/abs/1205.1752

zbMATH Keywords

adjacency matrixgraph eigenvaluesspread of a graph

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

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Cites Work

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• Spectral results on regular graphs with \((k,\tau)\)-regular sets
• Main eigenvalues and \((\kappa ,\tau )\)-regular sets
• On the spread of the spectrum of a graph
• Lower bounds for the spread of a matrix
• Spectra of graphs obtained by a generalization of the join graph operation
• The spread of a matrix
• On the spread of a hermitian matrix and a conjecture of thompson
• The spread of the spectrum of a graph