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  1. Home
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  3. Strongly Regular Graphs
  • Cited by 58
Publisher:
Cambridge University Press
Online publication date:
January 2022
Print publication year:
2022
Online ISBN:
9781009057226
DOI:
https://doi.org/10.1017/9781009057226
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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