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Appears in Collections:Computing Science and Mathematics Journal Articles
Peer Review Status: Refereed
Title: Eigenvalue multiplicity in cubic graphs
Author(s): Rowlinson, Peter
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Keywords: Cubic graph
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Issue Date: Mar-2014
Date Deposited: 28-Jan-2014
Citation: Rowlinson P (2014) Eigenvalue multiplicity in cubic graphs. Linear Algebra and Its Applications, 444, pp. 211-218.
Abstract: Let G be a connected cubic graph of order n with μ as an eigenvalue of multiplicity k. We show that (i) if μ∉{-1,0} then k≤12n, with equality if and only if μ=1 and G is the Petersen graph; (ii) if μ=-1 then k≤12n+1, with equality if and only if G=K4; (iii) if μ= then k≤12n+1, with equality if and only if G=2K3¯.
DOI Link: 10.1016/j.laa.2013.11.036
Rights: Published in Linear Algebra and its Applications by Elsevier; Elsevier believes that individual authors should be able to distribute their accepted author manuscripts for their personal voluntary needs and interests, e.g. posting to their websites or their institution’s repository, e-mailing to colleagues. The Elsevier Policy is as follows: Authors retain the right to use the accepted author manuscript for personal use, internal institutional use and for permitted scholarly posting provided that these are not for purposes of commercial use or systematic distribution. An "accepted author manuscript" is the author’s version of the manuscript of an article that has been accepted for publication and which may include any author-incorporated changes suggested through the processes of submission processing, peer review, and editor-author communications.

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