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Elsevier, Linear Algebra and its Applications, 5(436), p. 1482-1488, 2012

DOI: 10.1016/j.laa.2011.08.020

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Regular star complements in strongly regular graphs

Journal article published in 2012 by Peter Rowlinson
This paper is made freely available by the publisher.
This paper is made freely available by the publisher.

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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.