Embeddable transversal designs

NOTE Some Non-embeddable Quasi-Derived Designs

Van Lint and Tonchev (1993, J. Combin. Theory Ser. A 62, 252 260) described a sufficient condition for the non-embeddability of a quasi-derived design into a symmetric balanced incomplete block design. In this paper, by using the notion of incomplete designs, this criterion is changed to find certain quasi-derived designs in some special cases. Many infinite series of non-embeddable quasi-deriv...

More Thwarts in Transversal Designs

A transversal design of order n and block size k, or TD(k; n), is a triple (X, G, B ), where X is a set of kn elements. G 5 hG1 , . . . , Gkj is a partition of X into k sets each of size n; each class of the partition is a group. B is a set of k-subsets of X, with the property that each B [ B satisfies uB > Giu 5 1 for each 1 # i # k; sets in B are blocks. Finally, each unordered pair of elemen...

A Class of Non-embeddable Designs

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On simple and supersimple transversal designs

In this paper, the existence of a transversal design T D (4; g) is proved for all indices satisfying 2 g such that any two of its blocks intersect in at most two elements.

Symmetric Transversal Designs with Group Size 3