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612-822-4611
Strongly Regular Graphs

Strongly Regular Graphs

Hardcover

Series: Encyclopedia of Mathematics and Its Applications, Book 182

General Mathematics

ISBN10: 1316512037
ISBN13: 9781316512036
Publisher: Cambridge University Press
Published: Jan 13 2022
Pages: 482
Weight: 2.02
Height: 1.19 Width: 6.14 Depth: 9.21
Language: English
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.

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General Mathematics