Andries E. Brouwer, H. Van Maldeghem

Strongly Regular Graphs

• Gebundenes Buch

Produktbeschreibung

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.

Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 482
• Erscheinungstermin: 3. Dezember 2021
• Englisch
• Abmessung: 240mm x 161mm x 33mm
• Gewicht: 972g
• ISBN-13: 9781316512036
• ISBN-10: 1316512037
• Artikelnr.: 62846084

Autorenporträt

Andries E. Brouwer is Emeritus Professor at TU Eindhoven. He is the co-author of Distance Regular Graphs (1989), and the textbook Spectra of Graphs (2012). He received an honorary doctorate from Aalborg University, Denmark in 2004.

Inhaltsangabe

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.