منابع مشابه
k-Circulant Supersaturated Designs
A class of supersaturated designs called k-circulant designs is explored. These designs are constructed from cyclic generators by cycling k elements at a time. The class of designs includes many Es2-optimal designs, some of which are already known and some of which are more ef cient than known designs for model estimation under factor sparsity. Generators for the most ef cient designs are lis...
متن کاملMandatory Representation Designs MRD ( 4 , k ; v ) with k ≡ 2
A mandatory representation design MRD(K; v) is a pairwise balanced design on v points with block sizes from the set K in which for each k ∈ K there is at least one block in the design of size k. In this paper, we show that the necessary criteria for an MRD(K; v) to exist are asymptotically sufficient for finite K. Furthermore, we consider MRDs with K = {4, k}, where k ≡ 2 mod 3, k ≥ 5. Here, we...
متن کاملLine-Primitive 2-(v, k, 1) Designs with k/(k, v)<=10
A 2&(v, k, 1) design D=(P, L) is a system consisting of a finite set P of v points and a collection L of a k-subset of P, called lines, such that each 2-subset of P is contained in precisely one line. We shall always assume that 2<k<v. Let G Aut(D) be a group of automorphisms of a 2&(v, k, 1) design D. The group G is said to be line-transitive (line-primitive, respectively) on D if G is transit...
متن کاملDown - linking ( K v , Γ ) - designs to P 3 - designs
Let Γ′ be a subgraph of a graph Γ. We define a down-link from a (Kv,Γ)-design B to a (Kn,Γ)-design B′ as an injective map f : B → B′ mapping any block of B into one of its subgraphs. This is a new concept, closely related with both the classical notion of embedding and the more recent one of sampling. In the present paper we study down-links in general and prove that any (Kv,Γ)-design might be ...
متن کاملDoubly homogeneous 2-(v, k, 1) designs
A 2-(v, k, 1) design 9 = (S, 93) is a finite set S of u points and a collection $3 of k-subsets of S, called blocks, such that any 2-subset of S is contained in precisely one block. We will always assume that 2 <k < o. Let G d Aut 9 be a group of automorphisms of a 2-(u, k, 1) design 9. Those designs $3 for which G acts doubly transitively on the points have been classified by Kantor [6] and, f...
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ژورنال
عنوان ژورنال: Mathematics
سال: 2020
ISSN: 2227-7390
DOI: 10.3390/math8111883