Tightness in subset bounds for coherent configurations

@article{Hobart2014TightnessIS,
  title={Tightness in subset bounds for coherent configurations},
  author={S. Hobart and Jason Williford},
  journal={Journal of Algebraic Combinatorics},
  year={2014},
  volume={39},
  pages={647-658}
}
  • S. Hobart, Jason Williford
  • Published 2014
  • Mathematics
  • Journal of Algebraic Combinatorics
  • Association schemes have many applications to the study of designs, codes, and geometries and are well studied. Coherent configurations are a natural generalization of association schemes, however, analogous applications have yet to be fully explored. Recently, Hobart [Mich. Math. J. 58:231–239, 2009] generalized the linear programming bound for association schemes, showing that a subset Y of a coherent configuration determines positive semidefinite matrices, which can be used to constrain… CONTINUE READING
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    References

    SHOWING 1-10 OF 17 REFERENCES
    Antidesigns and regularity of partial spreads in dual polar graphs
    • 7
    • PDF
    New code upper bounds from the Terwilliger algebra and semidefinite programming
    • A. Schrijver
    • Mathematics, Computer Science
    • IEEE Transactions on Information Theory
    • 2005
    • 172
    • PDF
    Some Classes of Rank 2 Geometries
    • 71
    More maximal arcs in Desarguesian projective planes and their geometric structure
    • 25
    • PDF
    The independence number for polarity graphs of even order planes
    • 8
    • PDF
    Maximal arcs in Desarguesian planes of odd order do not exist
    • 103
    • PDF
    Eigenvalue techniques in design and graph theory
    • 166
    • Highly Influential
    • PDF
    AN ALGEBRAIC APPROACH TO THE ASSOCIATION SCHEMES OF CODING THEORY
    • 702
    • Highly Influential
    Coherent algebras, Linear Algebra Appl
    • 93, 209-239
    • 1987