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A remark on partial linear spaces of girth 5 with an application to strongly regular graphs

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Abstract

We derive a lower bound on the number of points of a partial linear space of girth 5. As an application, certain strongly regular graphs withμ=2 are ruled out by observing that the first subconstituents are partial linear spaces.

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References

  1. A. Gewirtz, The uniqueness ofg(2, 2, 10, 56),Trans. New York Acad. Sci.,31 (1969), 656–675.

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  2. A. Neumaier, Strongly regular graphs with smallest eigenvalue-M, Archiv der Mathematik,33 (1979), 392–400.

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Authors and Affiliations

  1. Mathematical Centre, Kruislaan 413, Amsterdam, The Netherlands

    A. E. Brouwer

  2. Institut für Angewandte Mathematik, Universität Freiburg, D-7800, Freiburg, BRD

    A. Neumaier

Authors
  1. A. E. Brouwer
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  2. A. Neumaier
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Brouwer, A.E., Neumaier, A. A remark on partial linear spaces of girth 5 with an application to strongly regular graphs. Combinatorica 8, 57–61 (1988). https://doi.org/10.1007/BF02122552

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  • DOI: https://doi.org/10.1007/BF02122552

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