Algebraic Combinatorics
Eiichi Bannaĭ, Etsuko Bannai, Tatsuro Ito, Tanaka Rie
Abstract
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.
Topics & Concepts
Algebraic combinatoricsMathematicsCombinatoricsEnumerative combinatoricsAlgebra over a fieldPure mathematicsGraph Labeling and Dimension Problems