Forbidden configurations: exact bounds determined by critical substructures.
Frankl-Füredi type inequalities for polynomial semi-lattices.
Game saturation of intersecting families
We consider the following combinatorial game: two players, Fast and Slow, claim k-element subsets of [n] = 1, 2, …, n alternately, one at each turn, so that both players are allowed to pick sets that intersect all previously claimed subsets. The game ends when there does not exist any unclaimed k-subset that meets all already claimed sets. The score of the game is the number of sets claimed by the two players, the aim of Fast is to keep the score as low as possible, while the aim of Slow is to postpone...
Generalized sum-free subsets.
How different can two intersecting families be?
Integer sequences avoiding prime pairwise sums.
Intersecting and cross-intersecting families of labeled sets.
Intersecting families in the alternating group and direct product of symmetric groups.
Intersecting systems of signed sets.
Isomorphism classes of maximal intersecting uniform families are few.
La fonction de Brakemeier dans le probléme d'Erdős-Ginzburg-Ziv
Macaulay posets.
Maximal flat antichains of minimum weight.
Maximal sets of numbers not containing k+1 pairwise coprime integers
Minimal weight in union-closed families.
Minimally intersecting set partitions of type B.
Monochromatic and zero-sum sets of nondecreasing modified diameter.
Non-canonical extensions of Erdős-Ginzburg-Ziv theorem.
Note on generating all subsets of a finite set with disjoint unions.
On a conjecture of Frankl and Füredi.