Please use this identifier to cite or link to this item: http://hdl.handle.net/1893/18444
Appears in Collections:Computing Science and Mathematics Journal Articles
Peer Review Status: Refereed
Title: Controllable graphs with least eigenvalue at least -2
Authors: Cvetkovic, Dragos
Rowlinson, Peter
Stanic, Zoran
Yoon, Myung-Gon
Contact Email: peter.rowlinson@stir.ac.uk
Keywords: graph spectra
control theory
main eigenvalues
bounded eigenvalues
Issue Date: Oct-2011
Publisher: University of Belgrade and Academic Mind
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.
Type: Journal Article
URI: http://hdl.handle.net/1893/18444
DOI Link: http://dx.doi.org/10.2298/AADM110909022C
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.
Affiliation: Mathematical Institute SANU
Mathematics - CSM Dept
University of Belgrade
Gangneung-Wonju National University

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