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We show that the method of counting closed walks in strongly regular graphs rules out no parameter sets other than those ruled out by the method of counting eigenvalue multiplicities.
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A.J. Hoffman and R.R. Singleton, On Moore graphs with diameters 2 2 and 3 3 , IBM J. Res. Develop
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R.C. Bose, Strongly regular graphs, partial geometries and partially balanced designs, Pacific J. Math
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P. Erdős, A. Rényi, and V.T. Sós, On a problem of graph theory, Studia Sci.Math. Hungar
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H.S. Wilf, The friendship theorem, in: Combinatorial Mathematics and its Applications (D.J.A. Welsh, ed.)
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J.Q. Longyear and T.D. Parsons, The friendship theorem, Indagationes Mathematicae
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A.E. Brouwer and J.H. van Lint, Strongly regular graphs and partial geometries, in: Enumeration and design (D.M. Jackson and S.A. Vanstone, eds.)
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C. Huneke, The Friendship Theorem, Amer. Math. Monthly
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P.J. Cameron, Strongly regular graphs, in: Topics in algebraic graph theory (L.W. Beineke and R.J. Wilson, eds
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