AbstractConsidering families of subsets of a given set. The families of maximal size are determined for (i) Sperner families having the Helly property of order 2; (ii) families having the Helly property of order k
AbstractA map δ from the first r natural numbers to the power set of a set Ω of cardinality n is cal...
AbstractLet F be a family of subsets of an n-element set not containing four distinct members such t...
AbstractA family T of k-subsets of an n-set such that no more than r have pairwise fewer than s elem...
Considering families of subsets of a given set. The families of maximal size are determined for (i) ...
AbstractConsidering families of subsets of a given set. The families of maximal size are determined ...
AbstractA hypergraph (finite set system) H is called a bi-Helly family if it satisfies the following...
AbstractMotivated by the famous theorem of Helly on convex sets of Rd, a finite set system F is said...
AbstractA finite set system (hypergraph)H is said to have the Helly property if the members of each ...
AbstractLet |X| = n > 0, |Y| = k > 0, and Y ⊆ X. A family A of subsets of X is a Sperner family of X...
AbstractThis paper is a survey of open problems and results involving extremal size of collections o...
AbstractIn this paper, we show that the average size of the elements of a Sperner family of subsets ...
AbstractLet r be a positive integer. A finite family H of pairwise intersecting r-sets is a maximal ...
AbstractIf P is a partially ordered set, a k-family of P is a subset which contains no chains of len...
AbstractA hypergraph (finite set system) H is called a bi-Helly family if it satisfies the following...
AbstractSuppose that A is a finite set-system on N points, and for everytwo different A, A′ϵ A we ha...
AbstractA map δ from the first r natural numbers to the power set of a set Ω of cardinality n is cal...
AbstractLet F be a family of subsets of an n-element set not containing four distinct members such t...
AbstractA family T of k-subsets of an n-set such that no more than r have pairwise fewer than s elem...
Considering families of subsets of a given set. The families of maximal size are determined for (i) ...
AbstractConsidering families of subsets of a given set. The families of maximal size are determined ...
AbstractA hypergraph (finite set system) H is called a bi-Helly family if it satisfies the following...
AbstractMotivated by the famous theorem of Helly on convex sets of Rd, a finite set system F is said...
AbstractA finite set system (hypergraph)H is said to have the Helly property if the members of each ...
AbstractLet |X| = n > 0, |Y| = k > 0, and Y ⊆ X. A family A of subsets of X is a Sperner family of X...
AbstractThis paper is a survey of open problems and results involving extremal size of collections o...
AbstractIn this paper, we show that the average size of the elements of a Sperner family of subsets ...
AbstractLet r be a positive integer. A finite family H of pairwise intersecting r-sets is a maximal ...
AbstractIf P is a partially ordered set, a k-family of P is a subset which contains no chains of len...
AbstractA hypergraph (finite set system) H is called a bi-Helly family if it satisfies the following...
AbstractSuppose that A is a finite set-system on N points, and for everytwo different A, A′ϵ A we ha...
AbstractA map δ from the first r natural numbers to the power set of a set Ω of cardinality n is cal...
AbstractLet F be a family of subsets of an n-element set not containing four distinct members such t...
AbstractA family T of k-subsets of an n-set such that no more than r have pairwise fewer than s elem...
DOI
Add to ORKG