General plans regarding association schemes.
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Detailed Description
General plans regarding association schemes.
 Todo:
 Connections to other modules
 Todo:
 Other tools

R should have support for association schemes?

Hanaki and Miyamoto are classifying association scheme in GAP, so that there should be support in it.
 Todo:
 Basic notions

Value associations (arbitrary matrices)

Association classes

Value incidence matrices

Value adjacency matrices for square matrices

Association products (arbitrary and square matrices)

The transposed association products for arbitrary matrices

The association products for square matrices.

Parameters of the first kind ("intersection numbers")

For square matrices only, but we consider general square matrices and symmetric matrices.

Symmetry for undirected valueassociated matrices

The problems of different levels of "equipment"

Just as a matrix

Together with value range, association classes and incidence matrices

Additionally also with (transposed) association products

With "neutral element"

With parameters of the first kind

Tests for the various properties (only for square matrices)

directed valueassociated (the intersection number exist)

undirected valueassociated (additionally the matrix is symmetric)

association scheme (undirected valueassociated with "neutral
element")
 Todo:
 Basic examples

Trivial association schemes

Divisible association schemes

Rectangular association schemes

Triangular association schemes

Johnson association schemes

Association schemes of latin square type

Association schemes from distanceregular graphs

Hamming association schemes

Association schemes from groups
Definition in file general.hpp.