Please use this identifier to cite or link to this item: http://hdl.handle.net/1893/18468
Appears in Collections:Computing Science and Mathematics Journal Articles
Peer Review Status: Refereed
Title: Regular star complements in strongly regular graphs
Author(s): Rowlinson, Peter
Contact Email: peter.rowlinson@stir.ac.uk
Keywords: Strongly regular graph
Eigenvalue
Star complement
Issue Date: 1-Mar-2012
Date Deposited: 29-Jan-2014
Citation: Rowlinson P (2012) Regular star complements in strongly regular graphs. Linear Algebra and Its Applications, 436 (5), pp. 1482-1488. https://doi.org/10.1016/j.laa.2011.08.020
Abstract: We prove that, aside from the complete multipartite graphs and graphs of Steiner type, there are only finitely many connected strongly regular graphs with a regular star complement of prescribed degree s∈N. We investigate the possible parameters when s⩽5.
DOI Link: 10.1016/j.laa.2011.08.020
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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