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Appears in Collections:Computing Science and Mathematics Journal Articles
Peer Review Status: Refereed
Title: The main eigenvalues of a graph: a survey
Author(s): Rowlinson, Peter
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Keywords: Graph
harmonic graph
main eigenvalue
main angle
star partition
Issue Date: Oct-2007
Citation: Rowlinson P (2007) The main eigenvalues of a graph: a survey, Applicable Analysis and Discrete Mathematics, 1 (2), pp. 455-471.
Abstract: We survey results relating main eigenvalues and main angles to the structure of a graph. We provide a number of short proofs, and note the connection with star partitions. We discuss graphs with just two main eigenvalues in the context of measures of irregularity, and in the context of harmonic graphs.
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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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