Copyright © 1993 Published by Elsevier Science B.V. All rights reserved.
(s, r; μ)-nets and alternating forms graphs
Received 20 January 1989;
revised 22 February 1989.
Available online 27 March 2002.
Abstract
The equivalence between Bruck nets and mutually orthogonal latin squares is extended to (s, r; μ)- nets and mutually orthogonal quasi frequency squares. We investigate geometries arising from classical forms such as bilinear forms, alternating bilinear forms, hermitian forms and symmetric forms and show that (s, r; μ)-nets provide the right building blocks for each of these geometries with suitable values of μ. Toward the goal of geometric classification of distance-regular graphs, the local structure of the case of alternating forms graphs is stressed.






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