Let r and s be positive integers and {A1A2, ... , Am}, {B1, ... , Bm} be two families of sets with |Ai|=r|Bi|=s such that Ai ∩ Bi=∅ and Ai ∩ Bi≠∅ for every i = 1, ..., m and i <j. We show m≤(r+ss). This result generalizes a theorem of Bollobàs, The problem was raised by Pin. The proof uses linear algebra and symmetric tensor products
Ahlswede R, Cai N. A generalization of the AZ identity. Combinatorica. 1993;13(3):241-247.The identi...
AbstractWe improve the lower and upper bounds reported by Herzog and Schönheim for mr(p), the minimu...
AbstractWe define h(n) to be the largest function of n such that from any set of n nonzero integers,...
AbstractSuppose that A is a finite set-system on N points, and for everytwo different A, A′ϵ A we ha...
AbstractIf A1, …, Am; B1, …, Bm are finite sets such that for l ⩾ t ⩾ 0 and any r, s, we have |Ai| ⩽...
AbstractLet X be a finite set of n-melements and suppose t ⩾ 0 is an integer. In 1975, P. Erdös aske...
AbstractConsider two set systems A and B in the powerset P(n) with the property that for eachA∈A the...
AbstractLet X1, …, Xn be n disjoint sets. For 1 ⩽ i ⩽ n and 1 ⩽ j ⩽ h let Aij and Bij be subsets of ...
Let A1, A2, ..., Am, be at most a and let B1, ..., Bm, be at most b-element sets and let t be a non-...
A new, short proof is given of the following theorem of Bollobás: LetA 1,..., Ah andB 1,..., Bh be c...
A new, short proof is given of the following theorem of Bollobás: LetA 1,..., Ah andB 1,..., Bh be c...
A new, short proof is given of the following theorem of Bollobás: LetA 1,..., Ah andB 1,..., Bh be c...
A new, short proof is given of the following theorem of Bollobás: LetA 1,..., Ah andB 1,..., Bh be c...
A new, short proof is given of the following theorem of Bollobás: LetA 1,..., Ah andB 1,..., Bh be c...
AbstractIn this paper we are concerned with the following conjecture. Conjecture: Let L be a collect...
Ahlswede R, Cai N. A generalization of the AZ identity. Combinatorica. 1993;13(3):241-247.The identi...
AbstractWe improve the lower and upper bounds reported by Herzog and Schönheim for mr(p), the minimu...
AbstractWe define h(n) to be the largest function of n such that from any set of n nonzero integers,...
AbstractSuppose that A is a finite set-system on N points, and for everytwo different A, A′ϵ A we ha...
AbstractIf A1, …, Am; B1, …, Bm are finite sets such that for l ⩾ t ⩾ 0 and any r, s, we have |Ai| ⩽...
AbstractLet X be a finite set of n-melements and suppose t ⩾ 0 is an integer. In 1975, P. Erdös aske...
AbstractConsider two set systems A and B in the powerset P(n) with the property that for eachA∈A the...
AbstractLet X1, …, Xn be n disjoint sets. For 1 ⩽ i ⩽ n and 1 ⩽ j ⩽ h let Aij and Bij be subsets of ...
Let A1, A2, ..., Am, be at most a and let B1, ..., Bm, be at most b-element sets and let t be a non-...
A new, short proof is given of the following theorem of Bollobás: LetA 1,..., Ah andB 1,..., Bh be c...
A new, short proof is given of the following theorem of Bollobás: LetA 1,..., Ah andB 1,..., Bh be c...
A new, short proof is given of the following theorem of Bollobás: LetA 1,..., Ah andB 1,..., Bh be c...
A new, short proof is given of the following theorem of Bollobás: LetA 1,..., Ah andB 1,..., Bh be c...
A new, short proof is given of the following theorem of Bollobás: LetA 1,..., Ah andB 1,..., Bh be c...
AbstractIn this paper we are concerned with the following conjecture. Conjecture: Let L be a collect...
Ahlswede R, Cai N. A generalization of the AZ identity. Combinatorica. 1993;13(3):241-247.The identi...
AbstractWe improve the lower and upper bounds reported by Herzog and Schönheim for mr(p), the minimu...
AbstractWe define h(n) to be the largest function of n such that from any set of n nonzero integers,...
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