AbstractA union closed familyAis a finite family of sets such that the union of any two sets inAis also inA. The conjecture under consideration is Conjecture 1: For every union closed familyA, there exists somexcontained in at least half the members ofA. We study the structure of such families (as partially ordered sets), and verify the conjecture for a large number of cases
A family of sets is union-closed if the union of any two sets from belongs to. The union-closed set...
"A union-closed family is a non-empty finite collection of non-empty sets that is closed under union...
Let G be a graph with vertices V and edges E. Let F = f S e2E e j E Eg be the union-closed family o...
AbstractA union closed family A is a finite family of sets such that the union of any two sets in A ...
AbstractA union-closed family F is a finite collection of sets not all empty, such that any union of...
AbstractA union closed family A is a finite family of sets such that the union of any two sets in A ...
AbstractA union-closed family F is a finite collection of sets not all empty, such that any union of...
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...
AbstractA union closed (UC) family A is a finite family of sets such that the union of any two sets ...
A family of sets is union-closed if it contains the union of any two of its elements. Reimer (2003) ...
International audienceThe union-closed sets conjecture asserts that in a finite non-trivial union-cl...
International audienceThe union-closed sets conjecture asserts that in a finite non-trivial union-cl...
AbstractA union closed (UC) family A is a finite family of sets such that the union of any two sets ...
A family of sets is union-closed if the union of any two sets from belongs to. The union-closed set...
A family of sets is union-closed if the union of any two sets from belongs to. The union-closed set...
"A union-closed family is a non-empty finite collection of non-empty sets that is closed under union...
Let G be a graph with vertices V and edges E. Let F = f S e2E e j E Eg be the union-closed family o...
AbstractA union closed family A is a finite family of sets such that the union of any two sets in A ...
AbstractA union-closed family F is a finite collection of sets not all empty, such that any union of...
AbstractA union closed family A is a finite family of sets such that the union of any two sets in A ...
AbstractA union-closed family F is a finite collection of sets not all empty, such that any union of...
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...
AbstractA union closed (UC) family A is a finite family of sets such that the union of any two sets ...
A family of sets is union-closed if it contains the union of any two of its elements. Reimer (2003) ...
International audienceThe union-closed sets conjecture asserts that in a finite non-trivial union-cl...
International audienceThe union-closed sets conjecture asserts that in a finite non-trivial union-cl...
AbstractA union closed (UC) family A is a finite family of sets such that the union of any two sets ...
A family of sets is union-closed if the union of any two sets from belongs to. The union-closed set...
A family of sets is union-closed if the union of any two sets from belongs to. The union-closed set...
"A union-closed family is a non-empty finite collection of non-empty sets that is closed under union...
Let G be a graph with vertices V and edges E. Let F = f S e2E e j E Eg be the union-closed family o...
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