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Appears in Collections:Computing Science and Mathematics Journal Articles
Peer Review Status: Refereed
Title: Co-cliques and star complements in extremal strongly regular graphs
Author(s): Rowlinson, Peter
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Keywords: graph
star complement
independence number
Issue Date: 1-Feb-2007
Date Deposited: 28-Jan-2014
Citation: Rowlinson P (2007) Co-cliques and star complements in extremal strongly regular graphs. Linear Algebra and Its Applications, 421 (1), pp. 157-162.
Abstract: Suppose that the positive integer μ is the eigenvalue of largest multiplicity in an extremal strongly regular graph G. By interlacing, the independence number of G is at most 4μ2 + 4μ - 2. Star complements are used to show that if this bound is attained then either (a) μ = 1 and G is the Schläfli graph or (b) μ = 2 and G is the McLaughlin graph.
DOI Link: 10.1016/j.laa.2006.04.002
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