Ahlswede R, Khachatrian LH. Counterexample to the Frankl-Pach conjecture for uniform, dense families. COMBINATORICA. 1997;17(2):299-301
AbstractWe determine the maximum size of uniform intersecting families with covering number at least...
This paper proves the existence of nonmeasurable dense sets with additional properties using combina...
Abstract. Schinzel’s Hypothesis H predicts that a family of irre-ducible polynomials over the intege...
AbstractA union closed (UC) family A is a finite family of sets such that the union of any two sets ...
Frankl’s conjecture states that in a family of sets closed by union F such that F 6= {∅}, there is a...
AbstractWe give a simple linear algebraic proof of the following conjecture of Frankl and Füredi [7,...
The families \(\mathcal{F}_0,\ldots,\mathcal{F}_s\) of \(k\)-element subsets of \([n]:=\{1,2,\ldots,...
AbstractLet F be a union-closed family of subsets of an m-element set A. Let n=|F|⩾2 and for a∈A let...
AbstractLet 1⩽r<n be integers and H a family of subsets of an n-element set such that 1⩽ |H∩H1|⩽r ho...
One of the great appeals of Extremal Set Theory as a subject is that the statements are easily acces...
Let S be a set of n elements, and let H be a set-system on S, which satisfies that the size of any e...
Ahlswede R, Khachatrian LH. A counterexample to Aharoni's strongly maximal matching conjecture. DISC...
Frankl’s conjecture states that in a family of sets closed by union F such that F 6= {∅}, there is a...
Frankl and Füredi conjectured in 1989 that the maximum Lagrangian of all r-uniform hypergraphs of fi...
Frankl and Füredi conjectured in 1989 that the maximum Lagrangian of all r-uniform hypergraphs of fi...
AbstractWe determine the maximum size of uniform intersecting families with covering number at least...
This paper proves the existence of nonmeasurable dense sets with additional properties using combina...
Abstract. Schinzel’s Hypothesis H predicts that a family of irre-ducible polynomials over the intege...
AbstractA union closed (UC) family A is a finite family of sets such that the union of any two sets ...
Frankl’s conjecture states that in a family of sets closed by union F such that F 6= {∅}, there is a...
AbstractWe give a simple linear algebraic proof of the following conjecture of Frankl and Füredi [7,...
The families \(\mathcal{F}_0,\ldots,\mathcal{F}_s\) of \(k\)-element subsets of \([n]:=\{1,2,\ldots,...
AbstractLet F be a union-closed family of subsets of an m-element set A. Let n=|F|⩾2 and for a∈A let...
AbstractLet 1⩽r<n be integers and H a family of subsets of an n-element set such that 1⩽ |H∩H1|⩽r ho...
One of the great appeals of Extremal Set Theory as a subject is that the statements are easily acces...
Let S be a set of n elements, and let H be a set-system on S, which satisfies that the size of any e...
Ahlswede R, Khachatrian LH. A counterexample to Aharoni's strongly maximal matching conjecture. DISC...
Frankl’s conjecture states that in a family of sets closed by union F such that F 6= {∅}, there is a...
Frankl and Füredi conjectured in 1989 that the maximum Lagrangian of all r-uniform hypergraphs of fi...
Frankl and Füredi conjectured in 1989 that the maximum Lagrangian of all r-uniform hypergraphs of fi...
AbstractWe determine the maximum size of uniform intersecting families with covering number at least...
This paper proves the existence of nonmeasurable dense sets with additional properties using combina...
Abstract. Schinzel’s Hypothesis H predicts that a family of irre-ducible polynomials over the intege...
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