AbstractA theorem in convex bodies (in fact, measure theory) and a theorem about translates of sets of integers are generalized to coverings by subsets of a finite set. These theorems are then related to quasigroups and (0, 1)-matrices
The aim of this paper is to prove that whenever the n-dimensional Euclidean space is covered by r se...
AbstractLetDbe a finite family ofk-subsets (called blocks) of av-setX(v). ThenDis a (v, k, t) coveri...
AbstractLet S be a nonempty finite set with cardinality m. Let M=(S,I(M)) be a matroid on S. Let x b...
AbstractA theorem in convex bodies (in fact, measure theory) and a theorem about translates of sets ...
AbstractIt is shown that if Q is a quasi-group of order n and k is moderately large, there exists a ...
In this paper we study the minimal number of translates of an arbitrary subset $S$ of a group $G$ ne...
AbstractLet V be a finite set of ν elements. A covering of the pairs of V by k-subsets is a family F...
AbstractWe give formulae for determining the number of ways of writing a finite set as the union of ...
We consider the problem of reconstructing a set of real numbers up to translation from the multiset ...
Beiglboeck, Bergelson and Fish proved that if subsets A,B of a countable discrete amenable group G h...
AbstractA uniform proof is given for various (known) theorems asserting the convexity of a set S of ...
We consider four problems. Rogers proved that for any convex body K, we can cover R-d by translates ...
AbstractA set T is said to cover a set system J if T meets all members of J. We raise the following ...
AbstractLet n, t, k be integers, n ⩾ t ⩾ 1, k ⩾ 2. Let x = {1, 2, …, n}. Let F be a family of subset...
Let G be a finite Abelian group written additively which is the n-fold direct sum of ...
The aim of this paper is to prove that whenever the n-dimensional Euclidean space is covered by r se...
AbstractLetDbe a finite family ofk-subsets (called blocks) of av-setX(v). ThenDis a (v, k, t) coveri...
AbstractLet S be a nonempty finite set with cardinality m. Let M=(S,I(M)) be a matroid on S. Let x b...
AbstractA theorem in convex bodies (in fact, measure theory) and a theorem about translates of sets ...
AbstractIt is shown that if Q is a quasi-group of order n and k is moderately large, there exists a ...
In this paper we study the minimal number of translates of an arbitrary subset $S$ of a group $G$ ne...
AbstractLet V be a finite set of ν elements. A covering of the pairs of V by k-subsets is a family F...
AbstractWe give formulae for determining the number of ways of writing a finite set as the union of ...
We consider the problem of reconstructing a set of real numbers up to translation from the multiset ...
Beiglboeck, Bergelson and Fish proved that if subsets A,B of a countable discrete amenable group G h...
AbstractA uniform proof is given for various (known) theorems asserting the convexity of a set S of ...
We consider four problems. Rogers proved that for any convex body K, we can cover R-d by translates ...
AbstractA set T is said to cover a set system J if T meets all members of J. We raise the following ...
AbstractLet n, t, k be integers, n ⩾ t ⩾ 1, k ⩾ 2. Let x = {1, 2, …, n}. Let F be a family of subset...
Let G be a finite Abelian group written additively which is the n-fold direct sum of ...
The aim of this paper is to prove that whenever the n-dimensional Euclidean space is covered by r se...
AbstractLetDbe a finite family ofk-subsets (called blocks) of av-setX(v). ThenDis a (v, k, t) coveri...
AbstractLet S be a nonempty finite set with cardinality m. Let M=(S,I(M)) be a matroid on S. Let x b...
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