**MSC:**- 05C99 None of the above but in this section

partition of \vec{\mathfrac{D}_n} into isomorphic copies (called pages) of \vec{\mathfrak{B}}. A

\vec{\mathfrak{B}}-decomposition is said to be suborthogonal if the union of any

two pages contain at most one pair of reverse arcs.

R.M. Wilson proved in 1975 that a \vec{\mathfrak{B}}-decomposition exists

for almost all integers n staisfying certain necessary conditions.

In this paper we shall prove that under the same conditions

there exists even a suborthogonal \vec{\mathfrak{B}}-decomposition.