Further results on controllable graphs

DOI10.1016/j.dam.2013.10.011zbMath1283.05170OpenAlexW2125216158MaRDI QIDQ2636813

Zoran Stanić

Publication date: 18 February 2014

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.dam.2013.10.011

zbMATH Keywords

main eigenvaluesconstructions of graphscontrollable graphssmall index

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Connectivity (05C40)

Related Items (8)

On strongly asymmetric and controllable primitive graphs ⋮ Further results on almost controllable graphs ⋮ Almost controllable graphs and beyond ⋮ The overgraphs of generalized cospectral controllable graphs ⋮ Note on graphs with irreducible characteristic polynomials ⋮ Construction of graphs with distinct eigenvalues ⋮ The controllability of graphs with diameter \(0-2\) ⋮ Graphs with \(n - 1\) main eigenvalues

Cites Work

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• Ordering graphs with index in the interval \((2, \sqrt{2+\sqrt 5})\)
• On regular graphs and coronas whose second largest eigenvalue does not exceed 1
• Highly irregular graphs
• Controllable graphs with least eigenvalue at least -2
• No Graph is Perfect

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