AbstractLet n, t, k be integers, n ⩾ t ⩾ 1, k ⩾ 2. Let x = {1, 2, …, n}. Let F be a family of subsets of x such that the cardinality of the union of any k members of F is at most n −t. How large |F| can be and which are the optimal families? We answer these questions for t ⩽ 2kk150
AbstractSuppose that A is a finite set-system on N points, and for everytwo different A, A′ϵ A we ha...
AbstractLet X be an n-element set and F ⊂ (kx) such that all the (2 |F|) sets F1 ⌣ F2, F1, F2 ∈ F ar...
AbstractLet X be a finite set of n-melements and suppose t ⩾ 0 is an integer. In 1975, P. Erdös aske...
AbstractLet F be an n-tuple of subsets X1, X2,…, Xn of a finite set R of cardinality r. Let us consi...
AbstractFollowing a conjecture of P. Erdös, we show that if F is a family of k-subsets of and n-set ...
AbstractLet fk(n) denote the maximum of k-subsets of an n-set satisfying the condition in the title....
AbstractLet X = [1, n] be a finite set of cardinality n and let F be a family of k-subsets of X. Sup...
AbstractIf X is an n-element set, we call a family G⊂PX a k-generator for X if every x⊂X can be expr...
AbstractLet n, m and k be positive integers. Let X be a set of cardinality n, and let F be a family ...
AbstractLet F be a family of subsets of an n-element set. F is said to be of type (n, r, s) if A ∈ F...
AbstractThis paper is a survey of open problems and results involving extremal size of collections o...
AbstractA family T of k-subsets of an n-set such that no more than r have pairwise fewer than s elem...
AbstractWe present a conjecture, with some supporting results, concerning the maximum size of a fami...
Let An Nn be an r-wise s-union family, that is, a family of sequences with n components of non-negat...
Abstract3e use a lower bound on the number of small sets in an ideal to show that for each union-clo...
AbstractSuppose that A is a finite set-system on N points, and for everytwo different A, A′ϵ A we ha...
AbstractLet X be an n-element set and F ⊂ (kx) such that all the (2 |F|) sets F1 ⌣ F2, F1, F2 ∈ F ar...
AbstractLet X be a finite set of n-melements and suppose t ⩾ 0 is an integer. In 1975, P. Erdös aske...
AbstractLet F be an n-tuple of subsets X1, X2,…, Xn of a finite set R of cardinality r. Let us consi...
AbstractFollowing a conjecture of P. Erdös, we show that if F is a family of k-subsets of and n-set ...
AbstractLet fk(n) denote the maximum of k-subsets of an n-set satisfying the condition in the title....
AbstractLet X = [1, n] be a finite set of cardinality n and let F be a family of k-subsets of X. Sup...
AbstractIf X is an n-element set, we call a family G⊂PX a k-generator for X if every x⊂X can be expr...
AbstractLet n, m and k be positive integers. Let X be a set of cardinality n, and let F be a family ...
AbstractLet F be a family of subsets of an n-element set. F is said to be of type (n, r, s) if A ∈ F...
AbstractThis paper is a survey of open problems and results involving extremal size of collections o...
AbstractA family T of k-subsets of an n-set such that no more than r have pairwise fewer than s elem...
AbstractWe present a conjecture, with some supporting results, concerning the maximum size of a fami...
Let An Nn be an r-wise s-union family, that is, a family of sequences with n components of non-negat...
Abstract3e use a lower bound on the number of small sets in an ideal to show that for each union-clo...
AbstractSuppose that A is a finite set-system on N points, and for everytwo different A, A′ϵ A we ha...
AbstractLet X be an n-element set and F ⊂ (kx) such that all the (2 |F|) sets F1 ⌣ F2, F1, F2 ∈ F ar...
AbstractLet X be a finite set of n-melements and suppose t ⩾ 0 is an integer. In 1975, P. Erdös aske...
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