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Appears in Collections:Computing Science and Mathematics Journal Articles
Peer Review Status: Refereed
Title: Controllable graphs with least eigenvalue at least -2
Author(s): Cvetkovic, Dragos
Rowlinson, Peter
Stanic, Zoran
Yoon, Myung-Gon
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Keywords: graph spectra
control theory
main eigenvalues
bounded eigenvalues
Issue Date: Oct-2011
Citation: Cvetkovic D, Rowlinson P, Stanic Z & Yoon M (2011) Controllable graphs with least eigenvalue at least -2, Applicable Analysis and Discrete Mathematics, 5 (2), pp. 165-175.
Abstract: Connected graphs whose eigenvalues are distinct and main are called controllable graphs in view of certain applications in control theory. We give some general characterizations of the controllable graphs whose least eigenvalue is bounded from below by - 2; in particular, we determine all the controllable exceptional graphs. We also investigate the controllable graphs whose second largest eigenvalue does not exceed 1.
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Rights: Publisher is open-access. Open access publishing allows free access to and distribution of published articles where the author retains copyright of their work by employing a Creative Commons attribution licence. Proper attribution of authorship and correct citation details should be given.

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