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The number oft-wise balanced designs

✍ Scribed by Charles J. Colbourn; Dean G. Hoffman; Kevin T. Phelps; Vojtěch Rödl; Peter M. Winkler

Publisher
Springer-Verlag
Year
1991
Tongue
English
Weight
470 KB
Volume
11
Category
Article
ISSN
0209-9683

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📜 SIMILAR VOLUMES

Bounding graphical t-wise balanced desig
Bounding graphical t-wise balanced designs
✍ Leo G. Chouinard II 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 167 KB

Let X be the edges of the complete graph K, on n vertices, provided with the natural action of S,, the automorphism group of K,. A t-wise balanced design (X,.8) with parameters t-((~), K, )J is said to be 9raphical if.~ is fixed under the action of S,. We show that for any pair (t, 2) with t > 1 or

On balanced complementation for regular
On balanced complementation for regular t-wise balanced designs
✍ R. Fuji-Hara; S. Kuriki; M. Jimbo 📂 Article 📅 1989 🏛 Elsevier Science 🌐 English ⚖ 610 KB

Vanstone has shown a procedure, called r-com?!ementation, to construct a regular pairwise balanced design from an existing regular pairwise balanced design. In this paper, we give a generalization of r-complementation, called balanced complementation. Necessary and sufficient conditions for balance

The bigraphical t-wise balanced designs
The bigraphical t-wise balanced designs of index 1
✍ Dean G. Hoffman; Donald L. Kreher 📂 Article 📅 1994 🏛 John Wiley and Sons 🌐 English ⚖ 367 KB

## Abstract The __t__‐wise balanced designs of index 1 whose point set are the edges of __K__~__m,n__~, the complete bipartite graph, and that have the subgroup of all automorphisms that fix the two independent sets of __K~m,n~__ as an automorphism group are studied. All such designs are found. © 1

The bigraphical t-wise balanced designs
The bigraphical t-wise balanced designs of index two
✍ Lisa M. Weiss; Donald L. Kreher 📂 Article 📅 1995 🏛 John Wiley and Sons 🌐 English ⚖ 998 KB

In this article we study the group S, X S, acting on the mn ordered pairs and classify all t-wise balanced designs of index 2 that have such an automorphism group. o 1995 John Wiley & Sons, Inc. ## 1. Introduction A t-wise balanced design (tBD) of type t -( v , K , A ) is a pair ( X , 3 ) where X

On Steiner 3-wise balanced designs of or
On Steiner 3-wise balanced designs of order 17
✍ E. S. Kramer; D. L. Kreher; Rudolf Mathon 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 231 KB

We determine all S(3, K, 17)'s which either; (i) have a block of size at least 6; or (ii) have an automorphism group order divisible by 17, 5, or 3; or (iii) contain a semi-biplane; or (iv) come from an S(3, K, 16) which is not an S(3, 4, 16). There is an S(3, K, 17) with |G| = n if and only if n ∈

A block-size bound for Steiner 6–wise ba
A block-size bound for Steiner 6–wise balanced designs
✍ Michael Ira; Earl S. Kramer 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 91 KB 👁 1 views

A t-wise balanced design (tBD) of type t-vY KY ! is a pair XY Bwhere X is a velement set of points and B is a collection of subsets of X called blocks with the property that the size of every block is in K and every t-element subset of X is contained in exactly ! blocks. If K is a set of positive in