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Appears in Collections:Computing Science and Mathematics Journal Articles
Peer Review Status: Refereed
Title: On independent star sets in finite graphs
Author(s): Rowlinson, Peter
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Keywords: Eigenvalue
Error-correcting code
Star set
Strongly regular graph
Symmetric design
Issue Date: Feb-2014
Date Deposited: 28-Jan-2014
Citation: Rowlinson P (2014) On independent star sets in finite graphs. Linear Algebra and Its Applications, 442, pp. 82-91.
Abstract: Let G be a finite graph with μ as an eigenvalue of multiplicity k. A star set for μ is a set X of k vertices in G such that μ is not an eigenvalue of G-X. We investigate independent star sets of largest possible size in a variety of situations. We note connections with symmetric designs, codes, strongly regular graphs, and graphs with least eigenvalue -2.
DOI Link: 10.1016/j.laa.2013.06.009
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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