Strongly Regular Graphs

Strongly Regular Graphs

  • Andries E. Brouwer
  • H. Van Maldeghem
Publisher:Cambridge University PressISBN 13: 9781009076845ISBN 10: 1009076841

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Know about the book -

Strongly Regular Graphs is written by Andries E. Brouwer and published by Cambridge University Press. It's available with International Standard Book Number or ISBN identification 1009076841 (ISBN 10) and 9781009076845 (ISBN 13).

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.