AbstractIt is shown that among the maximal any-two-set-intersecting subsystems of a hereditary family F, there is a star, as claimed by a conjecture of Chvátal, if it is assumed that any two bases have at most one common element
A family H of sets is hereditary if any subset of any set in H is in H. If two families A and B are ...
AbstractSuppose that A is a finite set-system on N points, and for everytwo different A, A′ϵ A we ha...
AbstractLet r be a positive integer. A finite family H of pairwise intersecting r-sets is a maximal ...
AbstractIt is shown that among the maximal any-two-set-intersecting subsystems of a hereditary famil...
AbstractIt is shown that among the maximal intersecting systems, which are subsystems of a hereditar...
AbstractIt is shown that among the maximal intersecting systems, which are subsystems of a hereditar...
AbstractLet I be an ideal in 2[n] which is compressed with respect to a given element. We show that ...
AbstractLet A1,A2,…,An be finite sets such that Ai⊈Aj for all i≠j. Let F be an intersecting family c...
The main purpose of this thesis is to treat and clarify two results found by Hunter Snevily on the o...
Two families A and B of sets are cross-t-intersecting if each set in A intersects each set in B in ...
AbstractFamilies A1,A2,…,Ak of sets are said to be cross-intersecting if for any i and j in {1,2,…,k...
Let $\lbrack n\rbrack = \{1,2,\..., n\},A$ and let $2\sp{\lbrack n\rbrack}$ represent the subset lat...
Let $\lbrack n\rbrack = \{1,2,\..., n\},A$ and let $2\sp{\lbrack n\rbrack}$ represent the subset lat...
AbstractUsing Kleitman's lemma and results of Schönheim and Miklós it is shown that if w(D)=|D|/2, t...
AbstractChvátal stated in 1972 the following conjecture: If H is a hereditary hypergraph on S and M ...
A family H of sets is hereditary if any subset of any set in H is in H. If two families A and B are ...
AbstractSuppose that A is a finite set-system on N points, and for everytwo different A, A′ϵ A we ha...
AbstractLet r be a positive integer. A finite family H of pairwise intersecting r-sets is a maximal ...
AbstractIt is shown that among the maximal any-two-set-intersecting subsystems of a hereditary famil...
AbstractIt is shown that among the maximal intersecting systems, which are subsystems of a hereditar...
AbstractIt is shown that among the maximal intersecting systems, which are subsystems of a hereditar...
AbstractLet I be an ideal in 2[n] which is compressed with respect to a given element. We show that ...
AbstractLet A1,A2,…,An be finite sets such that Ai⊈Aj for all i≠j. Let F be an intersecting family c...
The main purpose of this thesis is to treat and clarify two results found by Hunter Snevily on the o...
Two families A and B of sets are cross-t-intersecting if each set in A intersects each set in B in ...
AbstractFamilies A1,A2,…,Ak of sets are said to be cross-intersecting if for any i and j in {1,2,…,k...
Let $\lbrack n\rbrack = \{1,2,\..., n\},A$ and let $2\sp{\lbrack n\rbrack}$ represent the subset lat...
Let $\lbrack n\rbrack = \{1,2,\..., n\},A$ and let $2\sp{\lbrack n\rbrack}$ represent the subset lat...
AbstractUsing Kleitman's lemma and results of Schönheim and Miklós it is shown that if w(D)=|D|/2, t...
AbstractChvátal stated in 1972 the following conjecture: If H is a hereditary hypergraph on S and M ...
A family H of sets is hereditary if any subset of any set in H is in H. If two families A and B are ...
AbstractSuppose that A is a finite set-system on N points, and for everytwo different A, A′ϵ A we ha...
AbstractLet r be a positive integer. A finite family H of pairwise intersecting r-sets is a maximal ...
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