|Appears in Collections:||Computing Science and Mathematics Journal Articles|
|Peer Review Status:||Refereed|
|Title:||Co-cliques and star complements in extremal strongly regular graphs|
|Citation:||Rowlinson P (2007) Co-cliques and star complements in extremal strongly regular graphs. Linear Algebra and Its Applications, 421 (1), pp. 157-162. https://doi.org/10.1016/j.laa.2006.04.002|
|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.|
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|Co-Cliques Open Archive.pdf||Fulltext - Published Version||123.29 kB||Adobe PDF||View/Open|
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