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  3. Strongly Regular Graphs
  • Cited by 64
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    • Publisher:
      Cambridge University Press
      Publication date:
      January 2022
      January 2022
      ISBN:
      9781009057226
      9781316512036
      DOI:
      https://doi.org/10.1017/9781009057226
      Dimensions:
      (234 x 156 mm)
      Weight & Pages:
      0.91kg, 482 Pages
      Dimensions:
      Weight & Pages:
      • Subjects:
      Mathematics (general), Mathematics, Algorithmics, Complexity, Computer Algebra, Computational Geometry, Computer Science, Discrete Mathematics Information Theory and Coding
      Series:
      Encyclopedia of Mathematics and its Applications (182)
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    • Selected: Digital
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    Subjects:
    Mathematics (general), Mathematics, Algorithmics, Complexity, Computer Algebra, Computational Geometry, Computer Science, Discrete Mathematics Information Theory and Coding
    Series:
    Encyclopedia of Mathematics and its Applications (182)
    Information

    Book description

    Strongly regular graphs lie at the intersection of statistical design, group theory, finite geometry, information and coding theory, and extremal combinatorics. This monograph collects all the major known results together for the first time in book form, creating an invaluable text that researchers in algebraic combinatorics and related areas will refer to for years to come. The book covers the theory of strongly regular graphs, polar graphs, rank 3 graphs associated to buildings and Fischer groups, cyclotomic graphs, two-weight codes and graphs related to combinatorial configurations such as Latin squares, quasi-symmetric designs and spherical designs. It gives the complete classification of rank 3 graphs, including some new constructions. More than 100 graphs are treated individually. Some unified and streamlined proofs are featured, along with original material including a new approach to the (affine) half spin graphs of rank 5 hyperbolic polar spaces.

    Reviews

    ‘This is a book the mathematics world has long been waiting for … [The book] is by two of the leading researchers in the field. An interested reader will find almost everything on strongly regular graphs.’

    Ulrich Tamm Source: MathSciNet

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