Name
Abstract | ||
|---|---|---|
Let p and q be two nonnegative integers with p + q 0 and n 0 . We call F ź P ( n ) a (p, q)-tilted Sperner family with patterns on n if there are no distinct F , G ź F with: (i) p | F ź G | = q | G ź F | , and (ii) f g forźall f ź F ź G and g ź G ź F . E. Long in Long (2015) proved that the cardinality of a (1, 2)-tilted Sperner family with patterns on n is O ( e 120 log n 2 n n ) . We improve and generalize this result, and prove that the cardinality of every ( p , q )-tilted Sperner family with patterns on n is O ( log n 2 n n ) . |
Year | DOI | Venue |
|---|---|---|
2016 | 10.1016/j.disc.2016.05.029 | Discrete Mathematics |
Keywords | DocType | Volume |
Sperner family,Tilted Sperner family,Permutation method | Journal | 339 |
Issue | ISSN | Citations |
11 | 0012-365X | 0 |
PageRank | References | Authors |
0.34 | 2 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Dániel Gerbner | 1 | 46 | 21.61 |
| Máté Vizer | 2 | 27 | 14.06 |