Algebraic Combinatorics

Eiichi Bannai; Etsuko Bannai; Tatsuro Ito; Rie Tanaka

Published by De Gruyter 2021

Algebraic Combinatorics

Eiichi Bannai , Etsuko Bannai , Tatsuro Ito and Rie Tanaka

Volume 5 in the series De Gruyter Series in Discrete Mathematics and Applications

https://doi.org/10.1515/9783110630251

Overview
Contents

About this book

Algebraic combinatorics is the study of combinatorial objects as an extension of the study of finite permutation groups, or, in other words, group theory without groups. In the spirit of Delsarte's theory, this book studies combinatorial objects such as graphs, codes, designs, etc. in the general framework of association schemes, providing a comprehensive overview of the theory as well as pointing out to extensions.

An authoritative book on algebraic combinatorics
Presents the state of the art in the field
Of interest to researchers and graduate students in combinatorics and discrete mathematics

Author / Editor information

E. Bannai, E. Bannai, Kyushu U., Japan & China Three Gorges U., China; T. Ito, Anhui U., China; R. Tanaka, Tohoku U., Japan

Topics

Frontmatter Publicly Available Download PDF	I
Preface Publicly Available Download PDF	V
Preface to the Japanese version Publicly Available Download PDF	IX
Contents Publicly Available Download PDF	XIII
1 Classical design theory and classical coding theory Requires Authentication Unlicensed Licensed Download PDF	1
2 Association schemes Requires Authentication Unlicensed Licensed Download PDF	49
3 Codes and designs in association schemes (Delsarte theory on association schemes) Requires Authentication Unlicensed Licensed Download PDF	109
4 Codes and designs in association schemes (continued) Requires Authentication Unlicensed Licensed Download PDF	145
5 Algebraic combinatorics on spheres and general remarks on algebraic combinatorics Requires Authentication Unlicensed Licensed Download PDF	175
6 P- and Q-polynomial schemes Requires Authentication Unlicensed Licensed Download PDF	241
Bibliography Requires Authentication Unlicensed Licensed Download PDF	399
Index Requires Authentication Unlicensed Licensed Download PDF	421

(Deutsch)

Language: English
Publisher: De Gruyter
Audience: Researchers and graduate students in combinatorics and discrete mathematics.
Pages
- Front matter: 16
- Main content: 428
Illustrations
- Illustrations: 36
Keywords: Algebraische Kombinatorik; Assoziationsschema; Codierungstheorie

eBook

Published: February 22, 2021
ISBN: 9783110630251

Hardcover

Published: February 22, 2021
ISBN: 9783110627633