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Appears in Collections:Computing Science and Mathematics Journal Articles
Peer Review Status: Refereed
Title: Eigenvalue multiplicity in quartic graphs
Author(s): Capaverde, Juliane
Rowlinson, Peter
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Keywords: Eigenvalue
Quartic graph
Star complement
Issue Date: 15-Dec-2017
Citation: Capaverde J & Rowlinson P (2017) Eigenvalue multiplicity in quartic graphs. Linear Algebra and Its Applications, 535, pp. 160-170.
Abstract: Let G be a connected quartic graph of order n with μ as an eigenvalue of multiplicity k. We show that if μ ∉ {−1,0} then k ≤ (2n − 5)/3 when n ≤ 22, and k ≤ (3n − 1)/5 when n ≥ 23. If μ ∈ {−1,0} then k ≤ (2n + 2)/3, with equality if and only if G = K5 (with μ = −1) or G = K4,4 (with μ = 0).
DOI Link: 10.1016/j.laa.2017.08.023
Rights: This item has been embargoed for a period. During the embargo please use the Request a Copy feature at the foot of the Repository record to request a copy directly from the author. You can only request a copy if you wish to use this work for your own research or private study. Accepted refereed manuscript of: Capaverde J & Rowlinson P (2017) Eigenvalue multiplicity in quartic graphs, Linear Algebra and Its Applications, 535, pp. 160-170. DOI: 10.1016/j.laa.2017.08.023 © 2017, Elsevier. Licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International

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