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.
| ISBN: | 9781316512036 |
| Publication date: | 13th January 2022 |
| Author: | A E Brouwer, H van Maldeghem |
| Publisher: | Cambridge University Press |
| Format: | Hardback |
| Pagination: | 482 pages |
| Series: | Encyclopedia of Mathematics and Its Applications |
| Genres: |
Combinatorics and graph theory |
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.
Strongly Regular Graphs features in the following genres: Combinatorics and graph theory, Information theory, Coding theory and cryptology, Discrete mathematics, Geometry
Strongly Regular Graphs is available in Hardback
Strongly Regular Graphs was written by A E Brouwer, H van Maldeghem and published by Cambridge University Press
Strongly Regular Graphs has 482 pages
Yes it is part of Encyclopedia of Mathematics and Its Applications series
£114.30