AbstractA union closed (UC) family A is a finite family of sets such that the union of any two sets in A is also in A. Peter Frankl conjectured that for every union closed family A, there exists some x contained in at least half the members of A. An FC-family is a UC family B such that for every UC family A, if B⊆A, then A satisfies the Frankl conjecture. We construct several such families, involving five, six, and seven elements
Die Vermutung von Frankl besagt, dass es in jeder unter Vereinigung abgeschlossenen, endlichen Menge...
AbstractLet F be a union-closed family of subsets of an m-element set A. Let n=|F|⩾2 and for a∈A let...
Abstract3e use a lower bound on the number of small sets in an ideal to show that for each union-clo...
AbstractA union closed (UC) family A is a finite family of sets such that the union of any two sets ...
AbstractA union-closed family F is a finite collection of sets not all empty, such that any union of...
Frankl’s conjecture states that in a family of sets closed by union F such that F 6= {∅}, there is a...
AbstractA union closed family A is a finite family of sets such that the union of any two sets in A ...
AbstractA family of sets A is said to be union-closed if {A∪B:A,B∈A}⊂A. Frankl’s conjecture states t...
Abstract. In 1979 Frankl conjectured that in a finite union-closed family F of finite sets, F = {∅}...
AbstractA union closed familyAis a finite family of sets such that the union of any two sets inAis a...
Frankl’s conjecture states that in a family of sets closed by union F such that F 6= {∅}, there is a...
AbstractA union-closed family F is a finite collection of sets not all empty, such that any union of...
"A union-closed family is a non-empty finite collection of non-empty sets that is closed under union...
A family F of sets is union-closed if the union of any two sets from F belongs to F. The union-close...
A family F of sets is union-closed if the union of any two sets from F belongs to F. The union-close...
Die Vermutung von Frankl besagt, dass es in jeder unter Vereinigung abgeschlossenen, endlichen Menge...
AbstractLet F be a union-closed family of subsets of an m-element set A. Let n=|F|⩾2 and for a∈A let...
Abstract3e use a lower bound on the number of small sets in an ideal to show that for each union-clo...
AbstractA union closed (UC) family A is a finite family of sets such that the union of any two sets ...
AbstractA union-closed family F is a finite collection of sets not all empty, such that any union of...
Frankl’s conjecture states that in a family of sets closed by union F such that F 6= {∅}, there is a...
AbstractA union closed family A is a finite family of sets such that the union of any two sets in A ...
AbstractA family of sets A is said to be union-closed if {A∪B:A,B∈A}⊂A. Frankl’s conjecture states t...
Abstract. In 1979 Frankl conjectured that in a finite union-closed family F of finite sets, F = {∅}...
AbstractA union closed familyAis a finite family of sets such that the union of any two sets inAis a...
Frankl’s conjecture states that in a family of sets closed by union F such that F 6= {∅}, there is a...
AbstractA union-closed family F is a finite collection of sets not all empty, such that any union of...
"A union-closed family is a non-empty finite collection of non-empty sets that is closed under union...
A family F of sets is union-closed if the union of any two sets from F belongs to F. The union-close...
A family F of sets is union-closed if the union of any two sets from F belongs to F. The union-close...
Die Vermutung von Frankl besagt, dass es in jeder unter Vereinigung abgeschlossenen, endlichen Menge...
AbstractLet F be a union-closed family of subsets of an m-element set A. Let n=|F|⩾2 and for a∈A let...
Abstract3e use a lower bound on the number of small sets in an ideal to show that for each union-clo...
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