Strongly regular graphs / Andries E. Brouwer, H. Van Maldeghem.

Format:

Book

Author/Creator:

Brouwer, A. E. (Andries Evert), author.

Maldeghem, H. van, author.

Series:

Encyclopedia of mathematics and its applications ; 182.

Encyclopedia of mathematics and its applications ; 182

Language:

English

Subjects (All):

Graph theory.

Physical Description:

1 online resource (xvii, 462 pages) : digital, PDF file(s).

Edition:

1st ed.

Place of Publication:

Cambridge : Cambridge University Press, 2022.

Summary:

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.

Contents:

1. Graphs; 2. Polar spaces; 3. Graphs related to polar spaces; 4. Buildings; 5. Fischer spaces; 6. Golay codes, Witt designs, and Leech lattice; 7. Cyclotomic constructions; 8. Combinatorial constructions; 9. p-Ranks; 10. Individual graph descriptions; 11. Classification of rank 3 graphs; 12. Parameter table; References; Parameter Index; Author Index; Subject Index.

Notes:

Title from publisher's bibliographic system (viewed on 10 Jan 2022).

ISBN:

1-009-07684-1

1-009-05722-7

OCLC:

1291713954