论文信息 - (s, R; Mu)-nets and Alternating Forms Graphs

(s, R; Mu)-nets and Alternating Forms Graphs

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.

Tayuan Huang | Monique Laurent

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