In this paper we examine the orders of vertex-transitive self-complementary uniform hypergraphs.
We also give sufficient conditions for the existence of vertex-transitive self-complementary uniform hypergraphs in several other cases.
Since vertex-transitive self-complementary uniform hypergraphs are equivalent to a certain kind of large sets of t-designs, the results of the paper imply the corresponding results in design theory.
In particular, we prove that if there exists a vertex-transitive self-complementary k-uniform hypergraph of order n, where k="2ℓ or k="2ℓ+1 and n≡1(mod2ℓ+1), then the highest power of any prime dividing n must be congruent to 1 modulo 2ℓ+1.
The uniform complementary switching with good endurance was observed after the second electroforming process.
Fortunately, by blending several batches of juice with complementary compositions a uniform, standard juice is practical.
When the inversion of the A form was replaced with the reverse complementary sequence in the uniform sequence matrix, the number of variable sites within species decreased to 0 4, or 1.1% (Table 1).
Our results suggest that small plaques can cluster together, thus forming larger plaques as a complementary mechanism to simple uniform plaque growth from a single initial plaque.
By electrically combining the p-type TIPS-PEN and n-type C60 device arrays, we demonstrate the operation of an array of organic single-crystal complementary inverters with a high and uniform gain of ~25.
Based on these complementary design theories, some general rules for searching uniform designs through their complementary designs are proposed.
