A Characterization of Association Schemes from Affine Spaces

Authors:
Edwin R. Van Dam
Affiliations:
Tilburg University, Dept. Econometrics, PO Box 90153, 5000 LE Tilburg, The Netherlands
Venue:
Designs, Codes and Cryptography
Year:
2000

Citing 0
Cited 3

Strongly Regular Decompositions of the Complete Graph

Journal of Algebraic Combinatorics: An International Journal
Some implications on amorphic association schemes

Journal of Combinatorial Theory Series A
Pseudocyclic association schemes and strongly regular graphs

European Journal of Combinatorics

Quantified Score

Hi-index	0.00

Visualization

Abstract

We characterize theassociation schemes from affine spaces as the association schemesin which all relations are equivalence relations (when unitedwith the identity relation). The schemes from affine spaces ofdimension at least three are counterexamples of a conjectureof A. V. Ivanov [Problem 1.3]I on amorphic schemes.